The table below summarizes data from a survey of a sample of women. Using a 0.05 significance​ level, and assuming that the sample sizes of 700 men and 400 women are​ predetermined, test the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of​ women?                 Gender of Interviewer         Man Woman     Women who agree   458 345     Women who disagree   242 55       To view the chi-square distribution table, see image below. Identify the null and alternative hypotheses. Choose the correct answer below.   A. H0​: The proportions of​ agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H1​: The proportions are the same.   B. H0​: The proportions of​ agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H1​: The proportions are different.   C. H0​: The response of the subject and the gender of the subject are independent. H1​: The response of the subject and the gender of the subject are dependent.     -Compute the test statistic (round to 5 decimal places)  -Find the critical value(s) use commas to seperate answers if needed.  -What is the conclusion based on the hypothesis test. (fail to reject or reject H0) (sufficent or insufficent evidence to warrent the rejection of the claim that the proptions agree or disagree responces are the same for the subjects that interviewed by men and the subjects interviewed by women. does the gender of the intervier affect the responses of women?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
The table below summarizes data from a survey of a sample of women. Using a
0.05
significance​ level, and assuming that the sample sizes of
700
men and
400
women are​ predetermined, test the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of​ women?
 
 
 
 
 
 
 
 
Gender of Interviewer
 
 
 
 
Man
Woman
 
 
Women who agree
 
458
345
 
 
Women who disagree
 
242
55
 
 
 
To view the chi-square distribution table, see image below.
Identify the null and alternative hypotheses. Choose the correct answer below.
 
A.
H0​:
The proportions of​ agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.
H1​:
The proportions are the same.
 
B.
H0​:
The proportions of​ agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.
H1​:
The proportions are different.
 
C.
H0​:
The response of the subject and the gender of the subject are independent.
H1​:
The response of the subject and the gender of the subject are dependent.
 
 
-Compute the test statistic (round to 5 decimal places) 
-Find the critical value(s) use commas to seperate answers if needed. 
-What is the conclusion based on the hypothesis test. (fail to reject or reject H0) (sufficent or insufficent evidence to warrent the rejection of the claim that the proptions agree or disagree responces are the same for the subjects that interviewed by men and the subjects interviewed by women. does the gender of the intervier affect the responses of women?
 
Area to be foght of the Crtical Va
Degrees of
Freedom
0.995
0.99
6.35
0.30
0.10
0.05
0.025
0.01
0.005
O001
2
0.010
0.020
0.051
0.103
0211
4.605
9210
10.597
5991
0.072
0115
0216
0.584
在51
7.815
11.345
12 838
0.207
0297
0484
1.084
0.488
11.143
13.277
14.00
0.554
1.810
9.236
11.071
12833
15.086
16.750
18.548
0412
1.145
0.872
1.237
2204
10.645
12.502
14.440
16.812
1.23
1.690
2167
2833
3490
12.017
13.32
14.684
14.067
16.013
18475
20.278
1.344
1.846
2180
2733
15.507
17.535
20.090
21.955
1.735
2.088
2700
3.325
4.168
16.919
19.023
21.808
10
2158
2558
3247
3940
15.987
18.307
20.483
23.209 25.188
Transcribed Image Text:Area to be foght of the Crtical Va Degrees of Freedom 0.995 0.99 6.35 0.30 0.10 0.05 0.025 0.01 0.005 O001 2 0.010 0.020 0.051 0.103 0211 4.605 9210 10.597 5991 0.072 0115 0216 0.584 在51 7.815 11.345 12 838 0.207 0297 0484 1.084 0.488 11.143 13.277 14.00 0.554 1.810 9.236 11.071 12833 15.086 16.750 18.548 0412 1.145 0.872 1.237 2204 10.645 12.502 14.440 16.812 1.23 1.690 2167 2833 3490 12.017 13.32 14.684 14.067 16.013 18475 20.278 1.344 1.846 2180 2733 15.507 17.535 20.090 21.955 1.735 2.088 2700 3.325 4.168 16.919 19.023 21.808 10 2158 2558 3247 3940 15.987 18.307 20.483 23.209 25.188
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman