題組內容

II. 問答題
The significance level is 0.05 for all questions in II unless otherwise specified.
1. A college received applications from prospective students. The application form contains a variety of information including gender, the individual's Scholastic Aptitude Test (SAT) score and whether or not the student is in-state. SAT scores are normally distributed. The results are in the following table.

(4) Construct a \( 95\% \) confidence interval for the difference of the proportion of in-state students for male and female students. \( (5\%) \)