Question

Joe, a basketball player, claims that he makes at least 60% of his basketball free throws. Assuming that he attempts 20 free throws, use an exact binomial distribution to evaluate Ho: p = 0.6 against a one-sided alternative that his success percentage is lower than 0.6.

Let X be the number of free throws made. Which rejection region is the most appropriate for this test and why?

?1 = {?|? ≤ 8}

?2 = {?|? ≥ 16}

?3 = {?|? ≤ 8 ?? ? ≥ 16}

Using the rejection region that you pick:

What is the exact significance level of your test?   

What is the power if p = 0.5 ?

What is the probability of Type II Error if p= 0.4 ?

Suppose that Joe makes 10 free throws of the 20 that he attempts. Find the p-value.

Answer 1