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 900 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 546 326 Women who disagree 354 74 Click here to view the chi-square distribution table. LOADING... 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. 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 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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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

900

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	546	326
Women who disagree	354	74

Click here to view the chi-square distribution table.

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

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.

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.

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

▼

appears

does not appear

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

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