Women who disagree   319 55   The table below summarizes data from a survey of a sample of women. Using a 0.01 significance​ level, and assuming that the sample sizes of 800 men and 300 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? Identify the null and alternative hypotheses. Choose the correct answer below. A. 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.   B.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 14PPS
icon
Related questions
Topic Video
Question

 

Gender of Interviewer
 
 
 
 
Man
Woman
 
 
Women who agree
 
481
245
 
 
Women who disagree
 
319
55

 

The table below summarizes data from a survey of a sample of women. Using a 0.01 significance​ level, and assuming that the sample sizes of 800 men and 300 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?

Identify the null and alternative hypotheses. Choose the correct answer below.
A.
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.
 
B.
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.
 
C.
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.

Compute the test statistic.

Find the critical​ value(s).

What is the conclusion based on the hypothesis​ test?
 
Fail to reject/ Reject H0.  There is/is not sufficient evidence to warrant rejection of the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. It appears/ does not appear that the gender of the interviewer affected the responses of women.
Expert Solution
steps

Step by step

Solved in 8 steps with 8 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.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill