Several states including Colorado, Idaho, Kansas, Mississippi, Oregon, Texas, Utah, and Wisconsin have passed legislation that allows holders of gun permits to carry weapons on college campuses in those states. The file Guns contains data from a survey conducted on a college campus in another state that is considering similar legislation. The data indicate whether the students interviewed approve of the legislation.
a. Calculate and interpret a 99% confidence interval estimate for the proportion of males and the proportion of females who approve of the legislation.
b. Based on the interval estimates in part a, can you infer which gender has a higher proportion of approval? Explain.