here's the question

3. Last season, a baseball player got a hit 50 times out of 200 total attempts. Suppose that this season, the player will have 400 attempts. (a) (6 points) Use the player's previous season statistics to deterime the minimum and max- imum number of hits we expect from the player this season with 90% condence. (b) (6 points) The player claims that he has improved his skills since last season. Let q be the probability that the player gets a hit while at bat. The player is claiming that H0 : q = 50/200 = 0.25 should be rejected in favor of H1 : q > 0.25. Suppose you observe the player's next 300 attempts and he gets 90 hits. Find the pvalue of the test of H0 : q = 0.25 against H1 : q > 0.25. Would you agree that he has improved