In a random sample of 75,555 men, 3448 held multiple jobs. In a random sample of 66,914 women, 3495 held multiple jobs.
Critical Thinking:
1. Construct a 90% confidence interval estimate of the difference between the proportion of men and the proportion of women who hold multiple jobs.
2. What does this confidence interval suggest?
3. Treat the results as simple random samples, and use a 0.02 level of significance to test the claim that the men and women have the same proportion of multiple jobs.
4. Using the results of the hypothesis test, what valid conclusion can be made from the sample results? Based on the sample results, can we conclude anything about the whole population?