The table below summarizes data from a survey of a sample ofwomen. Using a
0.010.01
significance​ level, and assuming that the sample sizes of
800800
men and
400400
women are​ predetermined, test the claim that the proportionsof​ agree/disagree responses are the same for subjects interviewedby men and the subjects interviewed by women. Does it appear thatthe gender of the interviewer affected the responses of​ women?
| | | | | |
| | Gender of Interviewer | | |
|---|
| | Man | Woman | | |
|---|
Women who agree | | 489489 | 329329 | | |
|---|
Women who disagree | | 311311 | 7171 | | |
|---|
Click here to view the chi-square distribution table.
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Identify the null and alternative hypotheses. Choose the correctanswer below.
A.
Upper H 0H0​:
The response of the subject and the gender of the subject areindependent.
Upper H 1H1​:
The response of the subject and the gender of the subject aredependent.
B.
Upper H 0H0​:
The proportions of​ agree/disagree responses are the same forthe subjects interviewed by men and the subjects interviewed bywomen.
Upper H 1H1​:
The proportions are different.
C.
Upper H 0H0​:
The proportions of​ agree/disagree responses are different forthe subjects interviewed by men and the subjects interviewed bywomen.
Upper H 1H1​:
The proportions are the same.
2. what is the test statistic?
3. what is the critical value x squared?
4 fail to reject or reject and why?
