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Let y be a binomial random variable with n 300 and

(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.

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