We wish to have a test to determine which basketball players require practice in foul shooting. A player will be considered "acceptable" if he makes at least 60% of his foul shots. Let p represent the...

We wish to have a test to determine which basketball players

require practice in foul shooting. A player will be considered

"acceptable" if he makes at least 60% of his foul shots. Let p

represent the proportion of foul shots made by a player. We

wish to test

(a) Using the number of successes in 10 independent trials X as

the appropriate statistic determine a critical region for a

test so that a =0.05 (but

(b) Evaluate S(p) for p = 0(0.1)(0.6) and graph the power function for the test in part (a).