Question

A university financial aid office polled a random sample of 921 male undergraduate students and 961 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 599 of the male students and 747 of the female students said that they had worked during the previous summer. Give a 95% confidence interval for the difference between the proportions of male and female students who were employed during the summer.

Step 1 of 4: Find the values of the two sample proportions, pˆ1 and pˆ2. Round your answers to three decimal places.

Step 2 of 4: Find the critical value that should be used in constructing the confidence interval.

Step 3 of 4: Find the value of the standard error. Round your answer to three decimal places.

Step 4 of 4: Construct the 95% confidence interval. Round your answers to three decimal places.

Answer 1