State the null and alternative hypotheses. H 0
:p
=0.15 versus H a
:p<0.15
H 0
:p=0.15 versus H a
:p>0.15
H 0
:p
=0.09 versus H a
:p<0.09
H 0
:p=0.15 versus H a
:p<0.15
H 0
:p=0.09 versus H a
:p>0.09
test statistic z= rejection region z> (b) What conclusion are you able to draw from these data at the α=0.05 level of significance? (c) What is the p-value associated with this test? (Round your answer to four decimal places.) p-value =
Answers
a. Using the information in the survey in PARADE magazine, the null hypothesis is H0: p = 0.15 while the alternative hypothesis is Ha: p < 0.15
b. From the test statistics result, the null hypothesis is rejected and we conclude that there is sufficient evidence that the proportion of parents who describe their children as overweight is less than that reported by American obesity association
c. The p-value is approximately 0.0006.
How to test the hypothesisThe null and alternative hypotheses are
H0: p ≥ 0.15 which means that the proportion of parents who describe their children as overweight is greater than or equal to 0.15 while Ha: p < 0.15 means the proportion of parents who describe their children as overweight is less than 0.15.
To test this hypothesis, use z-test for the proportion.
Significance level = 0.05
The test statistic is:
\(z = (x - np0) / \sqrt(np0(1-p0))\)
where
x is the number of parents who describe their children as overweight (x = 70),
n is the sample size (n = 700)
p0 is the hypothesized proportion under the null hypothesis (p0 = 0.15)
np0 = 105 is the expected number of parents who describe their children as overweight under the null hypothesis.
Plug in the values
\(z = (70 - 105) / \sqrt(105*0.85) = -3.25\)
The rejection region for a one-tailed test with a significance level of 0.05 is z < -1.645.
Since -3.25 is less than -1.645, we reject the null hypothesis and conclude that there is sufficient evidence that the proportion of parents who describe their children as overweight is less than that reported by American obesity association.
The p-value
Since this is a one-tailed test with a null hypothesis of p ≥ 0.15, the p-value is the area to the left of the observed test statistic in the standard normal distribution.
Using standard normal table, the p-value is approximately 0.0006.
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The question is incomplete, find the complete question below.
According to the survey in PARADE magazine, almost half of the parents say their children weight is fine. only 9% parents describe children as overweight. However, the American obesity association says that the number of over weight children and teen is at least 15%. suppose that you sample n = 700 parents and the number who describe their children as overweight is x = 70. (a) how would you test the hypothesis that the proportion of parents who describe their children as overweight is less than the actual reported by the American obesity association. State the null and alternative hypotheses.
H₀:p =0.15 versus Hₐ :p<0.15
H₀ :p=0.15 versus Hₐ:p>0.15
H₀:p=0.09 versus Hₐ:p<0.09
H₀:p=0.15 versus Hₐ:p<0.15
H₀:p=0.09 versus Hₐ:p>0.09
test statistic z= rejection region z> (b) What conclusion are you able to draw from these data at the α=0.05 level of significance? (c) What is the p-value associated with this test? (Round your answer to four decimal places.)
Related Questions
you read about a study testing whether night shift workers sleep the recommended 8 hours per day. assuming that the population variance of sleep (per day) is unknown, what type of t test is appropriate for this study?
Answers
The type of t test which is appropriate for this study is one-sample t-test.
We are given that;
The time of recommended sleep= 8hours
Now,
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
A one-sample t-test is a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.
It examines whether the mean of a population is statistically different from a known or hypothesized value
If the population variance of sleep (per day) is unknown, then a one-sample t-test is appropriate for this study
Therefore, by variance answer will be one-sample t-test.
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when the sum of the first ten terms of an arithmetic progression is four times the sum of the first five terms, the ratio of the first term to the common difference is:
Answers
The ratio of the first term to the common difference is 1 is to 1 (1:1).
Let's say the first term of the arithmetic progression is 'a' and the common difference is 'd'.
Then the sum of the first five terms will be,
S5 = a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d) = 5a + 10d
And the sum of the first ten terms will be,
S10 = a + (a + d) + (a + 2d)+ ... + (a + 9d)
=10a + 45d
We have been given that sum of the first 10 terms is equal to four times the sum of the first 5 terms, i.e
S10 = 4S5
Substituting the expressions for S5 and S10 in terms of a and d, we get,
10a + 45d = 4(5a + 10d)
Simplifying this equation, we get,
10a + 45d = 20a + 40d
10d = 10a
d = a
So the ratio of the first term to the common difference is 1:1 or 1/1.
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HELP ME PLS!!!! (PURPLE DOT IS NOT THE ANSWER!!!!!!)
Answers
Answer:
B
Step-by-step explanation:
i gottt youu
Answer:
it is B
Step-by-step explanation:
9(x/3+1)>6 can you help me with this.
Answers
Answer:
the answer is 3 raised ro the third power
HELP PLS combine the like terms 3x+5-x+3+4x
Answers
Answer:
3x, 4x | 5, 3
Step-by-step explanation:
Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x + 5y = 5. Write the line in slope-intercept form, if possible.
Answers
Answer:
y = 5/4x + 1
Step-by-step explanation:
4x + 5y = 5
5y = -4x + 5
y = -4/5x + 1
Perpendicular slope: 5/4
(-4, -4)
Slope-intercept:
y - y1 = m(x - x1)
y + 4 = 5/4(x + 4)
y + 4 = 5/4x + 5
y = 5/4x + 1
E. Sandy’s monthly bank statement showed the following deposits and withdrawals: -$14.10, $41.50, -$11.03, -$7.25, $83.22 If Sandy’s balance in the account was $56.75 at the beginning of the month, what was the account balance at the end of the month?
Answers
Answer:
$149.09
Step-by-step explanation:
56.75-14.10=42.65
42.65+41.50=84.15
84.15-11.03=73.12
73.12-7.25=65.87
65.87+83.22=149.09
Rate of Change: Based on the equation determine the rate of change by looking at the coefficients.
Hint: Remember: y=mx+b (m=slope)
1. y=-x+ 3
2. y=3x-1
3. y= 8 + x2
Answers
Answer:
1) -1
2) 3
3) 2
to those who need points 4-9+5/6*33
Answers
Answer:
22.5
Step-by-step explanation:
\(4-9+\dfrac{5}{6}\cdot 33= \\\\\\4-9+27.5= \\\\\\-5+27.5= \\\\\\22.5\)
Hope this helps!
Answer:
22.5
Step-by-step explanation:
4-9+5/6*33
-5+165/6
= 22.5
C) if two individuals are chosen at random from the population, what is the probability that at least one will have some college or a college degree of some sort?
Answers
The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.
To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.
Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.
When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.
When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.
Since these events are independent, we can multiply the probabilities together:
P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².
Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:
P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².
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I Need Help Plz thank you
Answers
Answer:
d
Step-by-step explanation:
Sonia: 19.6 (3/5 = 0.6)
Cesar: 19.7
Stacy: 19.75
Roberto: 19.5 (1/2 = 0.5)
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint a design. He has 14 tubes of blue paint and 20 tubes of yellow paint when he starts.
On day 1, he mixes 4 tubes of blue and 6 tubes of yellow.
On day 2, he mixes 6 tubes of blue and 9 tubes of yellow.
He wants the same green color every time he mixes, so the amounts of blue and yellow should always be proportional to those in the original mixture.
Complete the questions to determine if his mixtures for days 1 and 2 represent a proportional relationship. Then find the highest number of tubes of each color Marc can mix to make the same original shade of green on day 3.
1. What are the ratios of blue paint to yellow paint in the mixtures for days 1 and 2?
Do these ratios represent a proportional relationship? (2 points)
2. How much blue paint did Marc use in total on days 1 and 2? How much yellow paint? (2 points)
3. How many tubes of each type of paint does Marc have left for day 3? (3 points)
4. Marc wants to use the same green for day 3's mixture, so the amounts must be proportional to those in the original mixture. What are the greatest numbers of tubes of blue and yellow paint Marc can mix on day 3? Assume he mixes only whole tubes of paint. (3 points)
also im sorry this question is so long i really need to get this done before 4 pm please help asap! please and thank you :)
Answers
Yes, the ratios of blue paint to yellow paint in the mixtures for days 1 and 2 represent a proportional relationship (2:3).
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total on days 1 and 2.
Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
The greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
We have,
1.
The ratios of blue paint to yellow paint in the mixtures for days 1 and 2 are as follows:
For day 1: 4 tubes of blue to 6 tubes of yellow, which simplifies to 2:3.
For day 2: 6 tubes of blue to 9 tubes of yellow, which also simplifies to 2:3.
Yes, these ratios represent a proportional relationship because they reduce to the same simplified ratio of 2:3.
2.
To calculate the total amount of blue paint and yellow paint used on days 1 and 2:
For day 1: 4 tubes of blue + 6 tubes of yellow = 10 tubes of paint in total.
For day 2: 6 tubes of blue + 9 tubes of yellow = 15 tubes of paint in total.
Therefore,
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total.
3.
To determine the number of tubes of each type of paint Marc has left for day 3:
Blue paint: Marc started with 14 tubes of blue paint and used 10 tubes, so he has 14 - 10 = 4 tubes of blue paint left.
Yellow paint: Marc started with 20 tubes of yellow paint and used 15 tubes, so he has 20 - 15 = 5 tubes of yellow paint left.
Therefore, Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
4.
To find the greatest number of tubes of blue and yellow paint Marc can mix on day 3 while maintaining the same proportional ratio:
Since the ratio of blue paint to yellow paint in the original mixture is 2:3, Marc needs to multiply both numbers by the same factor to find the greatest number of tubes he can mix.
The highest common factor of 4 (tubes of blue paint) and 5 (tubes of yellow paint) is 1.
So, Marc can mix 4 tubes of blue paint and 5 tubes of yellow paint on day 3 while maintaining the same original shade of green.
Therefore, the greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
Thus,
Yes, the ratios of blue paint to yellow paint in the mixtures for days 1 and 2 represent a proportional relationship (2:3).
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total on days 1 and 2.
Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
The greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
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On a trip, Gavin bought a ping-pong racket for $33. With the tax, he paid $36.96. What is the tax rate, in percent?
Answers
Answer:
12%
Step-by-step explanation:
Tax = 36.96 - 33 = 3.96
Tax rate = 3.96/33 * 100 = 12%
What can we say about the relationship between the correlation r and the slope m of the least-squares line for the same set of data?(Note: In the activities that are just about lines, the slope is written using the letter m in y=mx+b. The readings use the letter b for the slope in y = a + b*x. These slopes are the same slope—it's just whatever is multiplied by x is the slope, and represents the change in y for each 1-unit change in x—but in different contexts people usee different letters in the general form of the equation of a line.)Group of answer choicesr and m have the same sign (+ or −).Both r and m always have values between −1 and 1.The slope m is always equal to the square of the correlation r. m is always larger than r.m is always larger than r.r is always larger than m.
Answers
The correlation and the slope always have the same sign (+ or −), meaning that if the correlation is positive, the slope will also be positive and vice versa.
The slope and the correlation are two important measures in statistics. The slope of a line represents the change in the dependent variable (y) for every 1 unit change in the independent variable (x).
In the case of the least-squares line, the slope (m) and the correlation (r) have a relationship.
It is important to note that the slope of the line is always equal to the correlation times the ratio of the standard deviation of the dependent variable to the standard deviation of the independent variable.
This can be represented mathematically as:
=> m = r * (SDy/SDx).
Therefore, the correlation (r) always has a value between −1 and 1, indicating the strength of the relationship between the variables. If r is close to 1, the relationship between the variables is strong and positive.
On the other hand, if r is close to −1, the relationship between the variables is strong and negative.
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ASAP
Determine the intercepts of the line.
y-intercept:
r-intercept:
Answers
Answer:
y=-5/7x+2.5
Step-by-step explanation:
What is the probability of rolling an even number on a number cube and flipping a head with a fair coin?
Answers
:
1
.
Explanation:
Probability =
number of desirable outcomes
total number of possible outcomes
On a die, (number cube), there are 6 numbers, 3 of them are even
,
the probability of throwing an even number:
3
6
=
1
2
Odds =
number of desirable outcomes
number of non-desirable outcomes
, often written as
a
:
b
instead of
a
b
.
So the odds of rolling an even number are
3
:
(
6
−
3
)
=
1
:
1
.
aka 50%
Graph the image of the figure after a dilation with a scale factor of 2 centered at the origin.
Answers
A graph of the image of the figure after a dilation with a scale factor of 2 centered at the origin is shown in the image attached below.
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 2 centered at the origin as follows:
Coordinate A (3, 2) → Coordinate A' (3 × 2, 2 × 2) = Coordinate A' (6, 4).
Coordinate B (-1, -3) → Coordinate B' (-1 × 2, -3 × 2) = Coordinate B' (-2, -6).
Coordinate C (2, -2) → Coordinate C' (2 × 2, 2 × -2) = Coordinate C' (4, -4).
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Trey started to run on a treadmill after setting its timer for 99 minutes. The display says that he has finished 78% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.
Answers
Answer:
77.2%
Step-by-step explanation:
99x0.78= 77.22
Answer:
77.2%
Step-by-step explanation:
99x0.78= 77.22
What is the area of the figure to the nearest tenth? Answer choices: A) 93.8 in² B) 107.2 in² C) 53.9 in² D) 23.5 in² Please help! I will mark brainliest
Answers
Answer:
D)
A=23.5 in^2
Step-by-step explanation:
d*\(\pi\)*m*/360
A=16*\(\pi\)*168/360
A=23.5 in^2
Name the figure below in two different ways. (For Dark Paradox)
Answers
The given figure is categorized as a line and ray
A line and a rayA line is defined as the shortest distance between two points while a ray is a vector from a point to a point when viewed as a vector.
Since a vector is a quantity that has both magnitude and direction, hence the given figure is represented as a ray since it gives direction as well as magnitude.
It is also a line since it has two points T and H since a line is the distance between two points.
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What is arc XW and how do I find it?
Links= Reported
Answers
Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25
Answers
Answer:
its D/ 56.25
Step-by-step explanation:
because the other numbers are too small
In Exercises 8-10, find the domain and range of the function. 8. y = x + 2 9. y = -x + 1 10. y = - |x| -3
Answers
The domain and the range of the functions are
1. The domain is (-∝, ∝) and the range is (-∝, ∝)2. The domain is (-∝, ∝) and the range is (-∝, ∝)3. The domain is (-∝, ∝) and the range is (-∝, -3]How to determine the domain and the range?Equation 1
The equation is given as
y = x + 2
The above equation is a linear equation
So, the domain is (-∝, ∝) and the range is (-∝, ∝)
Equation 2
The equation is given as
y = - x + 1
The above equation is a linear equation
So, the domain is (-∝, ∝) and the range is (-∝, ∝)
Equation 3
The equation is given as
y = -|x| - 3
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
So, we have
Vertex = (0, -3)
Remove the x value
y = -3
Because the leading coefficient is negative, then the vertex is a maximum
i.e.
(-∝, -3]
So, the range is (-∝, -3]
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At the market, 8 batteries cost $10.
How much do 6 batteries cost?
Answers
Answer:
$7.50
Step-by-step explanation:
1 battery costs 10/8=5/4 dollars
(5/4)*6=15/2
15/2=7.50
Answer:
$7.50
Step-by-step explanation:
Set up a proportion and cross multiply to find your answer.
8 batteries/$10 = 6 batteries/$x
x = (6)(10)/8
x = 60/8
x = $7.50
when you add 18 to 1/4 of a number, you get the number itself
Answers
Answer:
1/4*24+18=24
Step-by-step explanation:
1/4x+18=x
1/4x-x=-18
-3/4x=-18
x=-18/(-3/4)
x=-18*-4/3
x=24
--------------
1/4*24+18=24
What is the total area, in square feet, of the house and backyard? A) 200 B) 400 C) 4,000 D) 5,200
Answers
Answer:
Area = 5200 ft²
Step-by-step explanation:
First let us find the area of the house.
Area = l × w
Area = 30 ft × 40 ft
Area = 1200 ft²
Now let us find the area of the backyard.
Area = l × w
Area = 80 ft × 50 ft
Area = 4000 ft²
Now that we have found the area of the house and the backyard, it asks us to find the total area of house and the backyard. To find the answer, you will both, the area of house and the area of the backyard.
Area of house + Area of backyard
1200 ft² + 4000 ft²
5200 ft²
Hope this helps, thank you :) !!
A moving company drove one of its trucks 100,042 miles one year. A second truck was driven 98,117 miles, and a third truck was driven 120,890 miles. How many miles were driven by all three trucks?
Answers
Suppose Roberto, Travis and Deandre go to adonut shop.Roberto buys 6 amaretto pumpkin, 6 black forestand 8 cotton candy donuts and ends up spending$48.70Travis gets 5 of the amaretto pumpkin, 6 blackforest and 6 cotton candy donuts for a total costof $41.33.Lastly, Deandre spends $31.67 on 4 amarettopumpkin, 4 black forest, and 5 cotton candy donuts.Write this scenario as a system of equations, then solve that system using an augmented matrixand RREF on your calculator before answering the question below.How much does a single black forest donut cost? Round your answer to 2 decimal places.
Answers
Given:
Let x be the cost of an amaretto pumpkin.
Let y be the cost of a black forest donut.
Let z be the cost of a cotton candy donut
To find:
The cost of a single black forest donut:
Explanation:
Let us frame the system of equations as follows.
\(\begin{gathered} 6x+6y+8z=48.7 \\ 5x+6y+6z=42.33_{} \\ 4x+4y+5z=31.67 \end{gathered}\)Next, we write the augmented matrix for the system,
\(\begin{bmatrix}{6} & {6} & {8} & {48.7} \\ {5} & {6} & {6} & {42.33} \\ {4} & {4} & {5} & {31.67} \\ {} & {} & {} & \end{bmatrix}\)Solving the matrix using RREF calculator,
The reduced row echelon form is,
\(\begin{bmatrix}{1} & {0} & {0} & {2.59} \\ {0} & {1} & {0} & {2.34} \\ {0} & {0} & {1} & {2.39} \\ & {} & {} & \end{bmatrix}\)Hence, the values are,
\(\begin{gathered} x=2.59 \\ y=2.34 \\ z=2.39 \end{gathered}\)Thus, the cost of a single black forest donut is $2.34.
Underground water sump is popular in India. It is usually used for large water sump storage and can be built cheaply using cement-like materials. Underground water sump are typically chosen by people who want to save space. The water in the underground sump is not affected by extreme weather conditions. The underground sump maintain cool temperatures in both winter and summer.
A builder wants to build a sump to store water in an apartment. The
volume of the rectangular sump will be modelled by
V(x) = ��3 + ��2 − 4�� − 4.
i. He planned in such a way that its height is (x-2) ,then what
are the base dimensions ( length and breadth )?
Answers
Answer:
1. x-2
2. Ans :. 60 m cube
3. 104 m square
4. 2600 rs ..
Step-by-step explanation:
please give me brainliest if these are correct!
Please help me solve
Answers
Answer:
I could but can you please put down the problem.
Step-by-step explanation: