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The table below summarizes data from a survey of a sample of women. Using a 0.05...

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?

Man Woman
Women who agree 581 244
Women who disagree 319 56

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

2)Compute the test statistic.(Round to three decimal places as​ needed.)

3)Find the critical​ value(s).(Round to three decimal places as needed.)

4)What is the conclusion based on the hypothesis​ test?

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