show work please
Jerry is playing basketball for a college team. His free-throw percentage last year was 65% . He tried to improve his free-throw shooting skill during the winter break with getting some help from his coach. This season he had 225 total free throw attempts and made 162.
(a) Do you think that his free-throw shooting got improved? Formulate and test appropriate hypotheses at α = 0.05; find (1) H0 : vs. H1 : (2) Test statistic: (3) Rejection region: (4) Computation and Conclusion: Interpretation:
(b) Suppose that Jerry’s true shooting percentage this season p = 70% and α = 0.10. How large a sample would be required if we want β = 0.05?