In our example 2 by 2 contingency table of Survival at 5 years (yes or no) by Age at Diagnosis ( =age 50), the data cell counts are presented as follows: under survival “yes” and age <50 cell count= 37, under survival “yes” and age >=50 cell count= 55, under survival “no” age <50 cell count=14, under survival “no” age >=50 cell count=75. What is the overall calculated Chi-sq value?
Answers
In our example 2 by 2 contingency table of Survival at 5 years (yes or no) by Age at Diagnosis the overall calculated Chi-sq value is 6.10 as per the given frequencies.
We can use the formula for Chi-sq:
Chi-sq = Σ \((O - E)^2 / E\)
Where O = observed frequency and E = expected frequency.
Row totals: 92, 89, 181
Column totals: 51, 130, 181
Grand total: 181
Expected frequency for cell (1,1) = (9251) / 181 = 25.91
Expected frequency for cell (1,2) = (92130) / 181 = 66.09
Expected frequency for cell (2,1) = (8951) / 181 = 25.09
Expected frequency for cell (2,2) = (89130) / 181 = 63.91
Using the formula and plugging in the observed and expected frequencies, we get:
Chi-sq = \([(37-25.91)^2 / 25.91] + [(55-66.09)^2 / 66.09] + [(14-25.09)^2 / 25.09] + [(75-63.91)^2 / 63.91]\)
Chi-sq = 6.10
Therefore, the overall calculated Chi-sq value is 6.10.
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Related Questions
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
Answers
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Show the order of evaluation of the following expressions by parenthesizing all subexpressions and placing a superscript on the )to indicate order. For example, for the expression: a + b * c + d, the order of evaluation would be represented as: ( (a + (b * c)1 )2 + d )3
Answers
Answer: Brainliest please!
The answers are explained below.
Explanation:
a.) * and + has same priority so then: ((a * b) - (1+c))
b.) For (++c++) = ((++c)++) , prefix has high precedence.
In remaining operators * and mod has same precedence So evaluate from left to right. ((a * (b - 1)) / (((++c)++) mod d))
There for order of evaluation: ((a * (b - 1)) / (((++c)++) mod d))
c.) for (d * e / a - 3), * has high priority so ((d *e) / a - 3). Now / and - have same priority so then see association from left to right. so
And & has more priority than / so then order of evaluation: ((a - b) / (c & (((d * e) / a) - 3))
d.) In question d, unary minus(-) has high priority then, - has high priority, then and has high priority and then or has low priority. So then order of evaluation: ((-a) or ((c = d) and e))
e.) Here > and <= has high and same precedence then ( a > b) xor c or (d <= 17)
now xor and or has same priority so associates from left to right.
order of evaluation is : ( ((a > b) xor c) or (d <= 17))
f.) uniary minus(-) has high precedence than + so order of evaluation is : ((-a) + b)
Rewriting the expression where there are no precedence rues and the statement is given right to left associativity:
a. c + 1 - b * a
b. d mod (++c++) / (1 - b) * b
c. (3 - a / e * d) & c / (b - a)
d. e and d = c or -a
e. 17 <= d or c xor b > a
f. b + -a
Answer: Add the legs a + b is: c = a + b squared
Step-by-step explanation:
need help with this
Answers
Answer:
There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5
Step-by-step explanation:
Answer:
3:5
Step-by-step explanation:
I think that it's 3:5 because
Mixed paint:3+2=5
Yellow:3
yellow : mixed paint
3:5
Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answers
Answer:
Step-by-step explanation:
find average of first 5 multiples of 4
Answers
Answer:
Ans- The mean of first 5 multiples of 4 is 12.
Answer:
12Step-by-step explanation:
The first 5 multiples of 4 are:
4 , 8, 12, 16 and 20Their average is:
(4 + 8 + 12 + 16 + 20)/5 = 1299
2
12
. At the library, Herb spent 1/6 hour looking for a book,1/4 hour of
reading, and 1/2 hour doing research on the computer. How man
hours did Herb spend at thelibrary?
2
3
Answers
Herb spent 55 hours at the library.
What is a fraction?Fractions defines a part of a whole and are represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Parts of a FractionThe denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.Total time spent in the Library = 1/6 + 1/4 + 1/2
Total time spent = 11/12 x 60 mins
Total time spent = 55 hours
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Solve the inequality and graph the solution on the line provided. 6x-6<-30
Answers
The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.
To solve the inequality 6x - 6 < -30, we can follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate the variable:
6x - 6 + 6 < -30 + 6
6x < -24
Step 2: Divide both sides of the inequality by 6 to solve for x:
(6x)/6 < (-24)/6
x < -4
The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.
To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.
On the number line, mark a point at -4 with a closed circle:
<--------●-----------------
Then, shade the region to the left of -4:
<--------●================
The shaded region represents the solution to the inequality x < -4.
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Home Alone is a series of American Christmas family comedy films created by John Hughes. There are 5 Home Alone movies. Below is a probability distribution of the number of Home Alone movies watched by a very large sample of high school students. 0 1 2 3 4 5 Number of Home Alone Movies Watched Probability 0.15 0.42 0.32 ? 0.02 0.01
a. Write the event "the student has seen 3 Home Alone movies" using probability notation. Then find this probability.
b. Explain in words what P(X > 3) means. What is this probability?
c. Make a histogram of the probability distribution. Describe its shape.
d. Calculate and interpret the expected value of X.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Number of Home alone movies (X)
Watched probability, p(x)
X : ___ 0 ____ 1 ____ 2 ____ 3 ___ 4 ___ 5
P(x) : _0.15 __ 0.42 __0.32 __? ___0.02 _0.01
a. Write the event "the student has seen 3 Home Alone movies" using probability notation. Then find this probability.
P(x = 3)
Since Σp(x) = 1
P(x =3) = 1 - (p(0)+p(1)+p(2)+p(4)+p(5))
P(x = 3) = 1 - (0.15 + 0.42 + 0.32 + 0.02 + 0.01)
P(x = 3) = 1 - 0.92
P(x = 3) = 0.08
b. Explain in words what P(X > 3) means. What is this probability?
P(x > 3) is the probability they a randomly chosen student has watched more than 3 home alone movies.
P(x > 3) = p(4) + p(5)
P( x > 3) = 0.02 + 0.01 = 0.04
d. Calculate and interpret the expected value of X.
E(X) = [Σ(X * p(x)]
(0*0.15) + (1*0.42) + (2*0.32) + (3*0.08) + (4*0.02) + (5*0.01) = 1.43
The avereage number of home alone movies watched is 1.43
Probability distributions are used to represent the probability of events.
The distribution is given as:
\(\mathbf{Homes \to Probability}\)
\(\mathbf{0 \to 0.15}\)
\(\mathbf{1 \to 0.42}\)
\(\mathbf{2 \to 0.32}\)
\(\mathbf{3 \to ?}\)
\(\mathbf{4 \to 0.02}\)
\(\mathbf{5 \to 0.01}\)
(a) The event using probability notation
When a student sees 3 home alone movies, it means x = 3.
So, the probability notation is: \(\mathbf{P(x = 3)}\)
(b) Explain P(x > 3)
It means the event that a student has seen more than 3 home alone movies.
It is calculated as:
\(\mathbf{P(x > 3) = P(4) + P(5) }\)
So, we have:
\(\mathbf{P(x > 3) = 0.02 + 0.01}\)
\(\mathbf{P(x > 3) = 0.03}\)
Hence, the value of P(x > 3) is 0.03
(c) Histogram
Start by calculating P(x = 3).
Using the complement rule, we have:
\(\mathbf{P(x = 3) = 1 - P(0)- P(1) - P(2) - P(x > 3)}\)
So, we have:
\(\mathbf{P(x = 3) = 1 - 0.15 - 0.42 - 0.32 - 0.03}\)
\(\mathbf{P(x = 3) = 0.08}\)
See attachment for the histogram
The shape is right-symmetric
(d) The expected value
This is calculated as:
\(\mathbf{E(x) = \sum x P(x)}\)
So, we have:
\(\mathbf{E(x) = 0 \times 0.15 + 1 \times 0.42 + 2 \times 0.32 + 3 \times 0.08 + 4 \times 0.02 + 5 \times 0.01}\)
This gives
\(\mathbf{E(x) = 1.43}\)
It means that a student has seen the home alone movies an average time o 1.43 times
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2. An object of mass 20kg is released from a height of 10m above the ground level. The kinetic energy of the object just before it hits the ground is (g=10ms-²
Answers
Answer:
2000j
Step-by-step explanation:
Kinetic Energy = mgh
= 20 x 10 x 10 J
= 2000J
5 is 1/2% of what number
Answers
Challenge A warehouse store sells 5.5-ounce cans of tuna in packages of 8. A package of 8 cans
costs $16.72. The store also sells 6.5-ounce cans of the same tuna in packages of 3. A package of
3 cans costs $7.02. The store sells 4.5-ounce cans in packages of 5 cans for $7.65. Which
package is the best buy?
A package of the
V-ounce cans is the best buy.
Answers
Answer:
Step-by-step explanation:
the warehouse is the best buy because you get 44oz off tuna but if you buy the three pack you get 19.5oz and if you buy the five pack from store you 22.5oz of tuna
so the warehouse has the best deal on tuna
Slope of (-3.6) and (-3,0)
Answers
Answer:
the slope for the points is 6
Step-by-step explanation:
6
Can someone help me please?
ASAP
Answers
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
What's the circumference of a
circle with a radius of 22 inches?
Use 3.14 for n.
Answers
Answer:
C
≈
138.23
in
Step-by-step explanation:
I hope it helped
In the formula A = 1/2 bh, solve for b when A = 416 and h = 32.
Answers
ANSWER
My answer is in the photo above
there are many possible equations you could create to equal 36 using the chart above. describe the steps you used to create you equations
Answers
The possible equations equals to 36 are:
9E = 36
6G = 36
4L = 36
9E + A = 36
5H + B = 36
3N + D = 36
3N + B + C = 36
2K + M + 2F = 36
2K + M + E + G = 36
Given that here,
A = 0, B = 1, C = 2, D = 3, E = 4, F = 5, G = 6, H = 7, K = 8, L = 9, M = 10, N = 11
The Answer will be 36 that is the right side of the equation must be 36.
Then the possible equations in one variable will be:
9E = 9*4 = 36
6G = 6*6 = 36
4L = 4*9 = 36
The possible equations in two variables will be:
9E + A = 9*4 + 0 = 36
5H + B = 5*7 + 1 = 36
3N + D = 3*11 + 3 = 36
The possible equations in three variables will be:
3N + B + C = 3*11 + 1 + 2 = 36
2K + M + 2F = 2*8 + 10 + 2*5 = 36
The possible equations in four variables will be:
2K + M + E + G = 2*8 + 10 + 4 + 6 = 36
Hence, the possible equations are:
9E = 36
6G = 36
4L = 36
9E + A = 36
5H + B = 36
3N + D = 36
3N + B + C = 36
2K + M + 2F = 36
2K + M + E + G = 36
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The question is incomplete. The complete question will be -
"There are many possible equations you could create to equal 36 using the chart above. describe the steps you used to create you equations"
An object is moving at a speed of 7100 kilometers per minute. Express this speed in miles per second.
Answers
Answer:
73.5
Step-by-step explanation:
7100 km = 4411.735 miles
1 minute = 60 secs
4411.735/60 = 73.5 miles/sec
how much the entire earth cost?
Answers
Answer:
$5 quadrillion dollars
Step-by-step explanation:
A water tank is a cube of side 2m the depth of the water in it is 60cm. What is the volume of the water in the tank?
Answers
Answer:
8 METERS CUBES I THINK
Step-by-step explanation:
VOLUME IS LENGTH TIMES WIDTH TIMES HEIGHT
2 METERS TIMES 2 METERS TIMES 2 METERS IS 8 METERS
Find the value of k, such that x² - 4x2 + kx + 4 will leave a remainder of 4 when divided by (x - 1).
A -3
B 8.4
C 0,3
D -4
Can someone help me with this one ASAP
Answers
Answer:
k=4
Explanation:f(x)=x3+4x2−kx+1By the remainder theorem, the remainder when dividing a polynomial f(x)by (x−a)
is f(a)In our case, we have a=−1 and we need:0=f(−1)=(−1)3+4(−1)2−k(−1)+10=f(−1)=−1+4+k+10=f(−1)=k+4
Hence k=−4
might have gotten it wrong sorry if so.
What is the value of x and y?
Answers
Answer:
x = 90y = 43Step-by-step explanation:
The angle bisector in this isosceles triangle is also its altitude. It meets the base segment at right angles.
x° = 90°
__
The acute angles in a right triangle are complementary.
y° = 90° -47°
y° = 43°
Identify the proof to show that ATSVARSV, where ZTVS RVS are right angles, V is the midpoint of TR, TS RS, and
VS bisects RST
Answers
The proof to show that ΔTSV ≅ ΔRSV, given that V is the midpoint of TR.
Properties of congruent right triangles.Two right angled triangles are said to be congruent if they have the same corresponding properties when compared.
A midpoint is said to divide a given line into two equal parts. So that the measure of length of the two parts are exactly the same. It may be determined by bisecting the line.
The following is the proof that ΔTSV ≅ ΔRSV;
<RSV ≅ <TSV (definition of an angle bisector)
<RVS ≅ <TVS (definition of right angle)
RS ≅ TV (sides of congruent triangles)
RT = RV + VT (addition property of a line bisector)
RV ≅ VT (definition of a midpoint)
Therefore it can be deduced that;
ΔTSV ≅ ΔRSV (Side-Angle-Angle congruency theorem)
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Which of the following is an irrational number?
Answers
Answer:
A.
Step-by-step explanation:
An irrational number can’t be expressed as a fraction
Write an equivalent fraction with a denominator of 10
1/2 = ?/10
Answers
Answer:
5/10
Step-by-step explanation:
An equivalent fraction will have the numerator and denominator multiplied by the same value.
ApplicationThe denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...
\(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)
A phone company offers two monthly plans. Plan A costs $15 plus an additional $0.14 for each minute of calls. Plan B has no initial fee but costs $0.18 for each
minute of calls.
Answers
Step-by-step explanation:
x = number of minutes
first cost function :
c(x) = 0.14x + 15
the second cost function :
c(x) = 0.18x
I guess, the question (not written in the description) is after how many minutes call time the first plan breaks even with the second plan and further becomes the better choice ?
0.18x = 0.14x + 15
0.04x = 15
x = 15/0.04 = 375
with 375 minutes calling time per month the first plan costs the same as the second plan.
and starting with 376 minutes per month the first plan becomes the cheaper option.
under 375 minutes per month the second plan is the cheaper option.
If the paint costs $1.50 per square meter, how much will she spend to cover the entire wall with paint?
Answers
To find the price to paint the entire wall, we just need to find the area of the wall and multiply by the price per square meter.
The area of a square is given by the product of the side length by itself. Since the measure of the side is 3 meters, the area is
\(A=3^2=9\)9 m².
The unitary price per square meter is $1.50. Multiplying this value by the area, we have
\(9\times1.5=13.5\)It will cost $13.50 to paint the wall.
The table below shows the favorite color of all the students at Wolff Elementary school.
Answers
Answer:
Pretty shure its the one at the bottom (C)
Step-by-step explanation:
the other ones have very limited amount of people they can show on the graph, so it makes sience to pick the biggest one because it will fluxuate.
(basically its C, also not always right )
Ali wants to rent a bounce house for the cookout.
A. Company A rents a bounce house for a $100 rental fee plus $20 per hour. Company B rents a bounce hours for $40 per hour. Let h = the number of hours the bounce house is rented. Write an expression that shows the cost of renting a bounce house from each company.
B. Will it cost more to rent from Company A or B if Ali bounce house for 3 hours? 5 hours? 10 hours?
C. For how many hours would Ali have to rent the bounce house from Company B before it becomes less expensive to rent from company A? Explain.
Answers
Answer:
Part A. Company A: 20h+100
Company B: 40h
Part B. After 3 hours: Company B is cheaper
After 5 hours: Both companies would cost as much
After 10 hours: Company A is cheaper
Part C. He would have to rent the bounce house for at most 5 hours before it becomes more expensive than Company A, because both companies would charge as much money at 5 hours.
Part A.
Company A: 20h+100
Company B: 40h
Part B.
After 3 hours: Company A costs more than Company B.
After 5 hours: The cost for both companies is the same.
After 10 hours: Company B costs more than Company A.
Part C. Ali would have to rent for at most 5 hours the bounce house from Company B for before it becomes less expensive to rent from company A.
What is a linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Ali wants to rent a bounce house for the cookout.
Part A.
Company A rents a bounce house for a $100 rental fee plus $20 per hour. Company B rents a bounce house for $40 per hour.
Let h = the number of hours the bounce house is rented.
The expression that shows the cost of renting a bounce house from each company is,
y = 20h + 100 and y = 40h.
Part B.
If x = 3 hours,
then y = 20(3) + 100 = $160 and y = 40(3) = $120.
Company A costs more than Company B.
If x = 5 hours,
then y = 20(5) + 100 = $200 and y = 40(5) = $200.
The cost for both companies is the same.
If x = 10 hours,
then y = 20(10) + 100 = $300 and y = 40(10) = $400.
Company B costs more than Company A.
Part. C.
Ali would have to rent at most 5 hours the bounce house from Company B before it becomes less expensive to rent from company A.
Therefore, all the solutions to the condition are given above.
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An investment of $500 earns $70 simple interest after 6 years. To the
nearest tenth of a percent, what is the interest rate?
Answers
Answer:
Rate of interest is 2.3%
