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 800 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 535 344 Women who disagree 265 56 Click here to view the chi-square distribution table. LOADING... 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4BGP

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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

800

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	535	344
Women who disagree	265	56

Click here to view the chi-square distribution table.

Identify the null and alternative hypotheses. Choose the correct answer below.

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.

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.

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.

nothing

(Round to three decimal places as needed.)

Find the critical value(s).

nothing

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

What is the conclusion based on the hypothesis test?

▼

Reject

Fail to reject

H0.

There

▼

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

▼

does not appear

appears

that the gender of the interviewer affected the responses of women.

Click to select your answer(s).

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