問題詳情

Question I (12 points)
 Suppose that a military dictator in an unnamed country holds a plebiscite (a yes/no vote of confidence) andclaims that he was supported by 65% of the voters. A human xights group suspects foul play and hires you totest the validity of the dictator's claim. You have a budget that allows you to randomly sample 200 voters fromthe country. You thus collect your sample of 200, and you find that 115 people actually votes yes. Youapproximate the probability that you would find 115 or fewer yes votes from a random sample of 200 if, infact, 65% of the entire population voted yes.

【題組】 1. Explain how and why we could claim that the probability is

, where Z is astandard normal random variable.

參考答案