42) A marketing company selected a sample of 25 lawyers and 25 doctors to determine ifthey had voted in the last election. At a 0.05, test the claim that the proportions whovoted are equal.42)LawyersDoctorsVoted171213Did not vote82525TotalA) There is not evidence to reject the claim that the proportions are equal because thetest value 2.053 < 3.841B) There is not evidence to reject the claim that the proportions are equal because thetest value 2.053 < 9.488) There is evidence to reject the claim that the proportions are equal because the testvalue 9.488 > 0.821D) There is evidence to reject the claim that the proportions are equal because the testvalue 3.841 > 0.821

Question
Asked Dec 2, 2019
1 views
42) A marketing company selected a sample of 25 lawyers and 25 doctors to determine if
they had voted in the last election. At a 0.05, test the claim that the proportions who
voted are equal.
42)
Lawyers
Doctors
Voted
17
12
13
Did not vote
8
25
25
Total
A) There is not evidence to reject the claim that the proportions are equal because the
test value 2.053 < 3.841
B) There is not evidence to reject the claim that the proportions are equal because the
test value 2.053 < 9.488
) There is evidence to reject the claim that the proportions are equal because the test
value 9.488 > 0.821
D) There is evidence to reject the claim that the proportions are equal because the test
value 3.841 > 0.821
help_outline

Image Transcriptionclose

42) A marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At a 0.05, test the claim that the proportions who voted are equal. 42) Lawyers Doctors Voted 17 12 13 Did not vote 8 25 25 Total A) There is not evidence to reject the claim that the proportions are equal because the test value 2.053 < 3.841 B) There is not evidence to reject the claim that the proportions are equal because the test value 2.053 < 9.488 ) There is evidence to reject the claim that the proportions are equal because the test value 9.488 > 0.821 D) There is evidence to reject the claim that the proportions are equal because the test value 3.841 > 0.821

fullscreen
check_circle

Expert Answer

Step 1

Given  observed data and calculation of row total, column total and grand total is shown below 

Total
1
2
29
Voted
17
12
Did Not vote
13
21
Total
25
25
50
Expected frequency is given by
row total X column total
Е
Grand total
29 x 25
29 x 25
14.5,
E12 =
14.5
E11
50
50
21 x 25
21 x 25
E21
10.5,
E22
10.5
50
50
Expected frequency table is shown below
Total
Lawyers
Doctors
Voted
14.5
14.5
29
Did Not Vote
21
10.5
10.5
Total
25
25
50
help_outline

Image Transcriptionclose

Total 1 2 29 Voted 17 12 Did Not vote 13 21 Total 25 25 50 Expected frequency is given by row total X column total Е Grand total 29 x 25 29 x 25 14.5, E12 = 14.5 E11 50 50 21 x 25 21 x 25 E21 10.5, E22 10.5 50 50 Expected frequency table is shown below Total Lawyers Doctors Voted 14.5 14.5 29 Did Not Vote 21 10.5 10.5 Total 25 25 50

fullscreen
Step 2

 Chi-square statis...

(о, — Е,)2
Σ
Ei
(17
(12 -14.5)2 (8 - 10.5)2
14.5)2
(13 - 10.5)2
2.053
14.5
10.5
14.5
10.5
Degree of freedom is given by
1) x (no of columns - 1) = (2 -1) x (2 1)
1 x 1 = 1
d.o.f
(no of rows
Critical chi-square value is given by
CHISQ.INV. RT(0.05,1))
3.84146 (FROM EXCEL
χ.05,1
x2( 2.053) 05,1(=3.84146)
So, option A is the correct answer. i.e. There is no evidence to reject the claim that the
proportions are equal because test value 2.053 < 3.841
help_outline

Image Transcriptionclose

(о, — Е,)2 Σ Ei (17 (12 -14.5)2 (8 - 10.5)2 14.5)2 (13 - 10.5)2 2.053 14.5 10.5 14.5 10.5 Degree of freedom is given by 1) x (no of columns - 1) = (2 -1) x (2 1) 1 x 1 = 1 d.o.f (no of rows Critical chi-square value is given by CHISQ.INV. RT(0.05,1)) 3.84146 (FROM EXCEL χ.05,1 x2( 2.053) 05,1(=3.84146) So, option A is the correct answer. i.e. There is no evidence to reject the claim that the proportions are equal because test value 2.053 < 3.841

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A sample of 65 observations is selected from one population with a population standard deviation of ...

A: From the given information, level of significance = 0.08.andFor a sample of 65, n = 65Mean =2.67 and...

question_answer

Q: Eighty-three percent of adults in a certain country believe that life on other planets is plausible....

A: The value of mean is 4.15, which is obtained as follows:

question_answer

Q: Statistical proble:  Andre is fearless circus performer who gets shot from a special cannon during t...

A: Introduction:Let X denote the distance (feet) travelled by Andre during a randomly selected performa...

question_answer

Q: You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho:Pi P2 H4 P i< P2 Y...

A: Given Data and calculation is shown below

question_answer

Q: According to a study, a female driver in the United States will average 615 accidents per 100 millio...

A: Introduction:If X ~ Bin (n, p), then the probability mass function of X is:p (x) = (nCx) px qn – x; ...

question_answer

Q: The mean pregnancy length of new mothers in a population is 267 days with a standard deviation of 10...

A: The pregnancy length of new mothers is normally distributed with mean 267 days and standard deviatio...

question_answer

Q: Prediction interval for y(58): 179 <y(58) < 279 28) An assumption for the goodness-of-fit test is th...

A: Chi-square goodness of fit:Chi-square goodness of fit test is a non-parametric test used to find how...

question_answer

Q: Question In which of the following situations should the chi-square Test for Goodness-of-Fit be used...

A: The chi-square goodness of fit test can be used to compare the observed sample distribution with the...

question_answer

Q: 10. Suppose that a worker's productivity at manufacturing firms (prod) depend:s on two factors, hour...

A: According to the provided data, the equation satisfies the Gauss-Markov assumptions. If less efficie...