Question

A university financial aid office polled a random sample of 572 male undergraduate students and 644 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 307 of the male students and 389 of the female students said that they had worked during the previous summer. Give a 98% 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.

Answer 1

Therefore, based on the data provided, the 98\%98% confidence interval for the difference between the population proportions p1−p2 is -0.133 −0.133<p1-p2<−0.001, which indicates that we are 98% confident that the true difference between population proportions is contained by the interval (-0.133, -0.001)(−0.133,−0.001).