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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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
Transcribed Image Text:**Chi-Square Test for Independence Example**
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 900 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?
| | Gender of Interviewer |
|-------------------|-----------------------|
| | Man | Woman |
| Women who agree | 592 | 247 |
| Women who disagree| 308 | 53 |
Click here to view the chi-square distribution table.
**Identify the null and alternative hypotheses. Choose the correct answer below.**
- A. \(H_0\): The response of the subject and the gender of the subject are independent.
\(H_1\): The response of the subject and the gender of the subject are dependent.
- B. **\(H_0\): The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.
\(H_1\): The proportions are different.**
- C. \(H_0\): The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.
\(H_1\): The proportions are the same.
**Compute the test statistic.**
(Round to three decimal places as needed.)
**Explanation of Diagram/Table:**
The table provides the number of women who agree or disagree based on the gender of the interviewer—categorized into those interviewed by men and women. This data is used to determine if there's a statistically significant relationship between the gender of the interviewer and the responses provided by women, using a chi-square test for independence.
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