The table below summarizes data from a survey of a sample of women. Using a 0.01significance​ level, and assuming that the sample sizes of 800 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   498 247     Women who disagree   302 53   Compute the test​ statistic, rounding to three decimal places. Find the critical​ value(s). (Round to three decimal places) What is the conclusion based on the hypothesis​ test?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.