_ _"'_'___ _ \\'f Your nancial advisor claims that the probability that the stock you want to buy will go up on any given day is 0.6. Assume that the movements of the stock are independent from day to day. a) Consider the proportion of days among 72 days on which the stock will go up. Assuming that your advisor is correct, what is the probability that this proportion is greater than 0.75? (3) b) You collected data for 72 days and observed that the stock went up on 36 days. Is there evidence in these data that your advisor's claim is not correct? Answer by constructing an appropriate 95% condence interval and interpret it. (3)