(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.