These two questions are about population proportions.

These two questions are about population proportions.

(a) In baseball data set, it was found that out of the 59 baseball players, 15 were left-handed. Is this odd, since the proportion of left-handed males in America is about 11%? Answer this question by constructing a 95% approximate confidence interval.

(b) Let Y be a Binomial random variable with n = 300, and probability of success p. If the observed value of Y is y = 75, find an approximate 90% confidence interval for p.