In a recent survey of 150 West Valley students, 36% had received at least one dose of a covid vaccine. Construct a 99% confidence interval for the proportion of college students who have received the vaccine. . Report the interval as a complete sentence in the context of the problem. . Would a 95% confidence interval be narrower or wider? Why? . Is it possible that the true proportion of vaccinated West Valley College students could be over 40%? Why or why not