The basketball player Steph Curry sometimes shoots free throws with his mouthguard in his mouth, and sometimes shoots free throws with his mouthguard outside of his mouth

Curry's mouth

The basketball player Steph Curry sometimes shoots free throws with his mouthguard in his mouth, and sometimes shoots free throws with his mouthguard outside of his mouth. His free throw statistics for one season were:

Free throws with mouthguard in: 110 completed, 13 missed (89.4%)

Free throws with mouthguard out: 198 completed, 16 missed (92.5%)

His observed free throw completion rate was slightly higher when his mouthguard was outside his mouth. However, we should check whether the difference could be plausibly explained as luck.

(a) Find an approximate 95% confidence interval for the probability that Curry completes a free throw with his mouthguard in. Give a numerical answer.

(b) Find an approximate 95% confidence interval for the probability that Curry completes a free throw with his mouthguard out.

(c) Suppose we wish to test the null hypothesis that Curry's probability of completing a free throw is the same with his mouthguard in as it is with his mouthguard out. The P-value for such a test is 0.33. What does this P-value tell you? Explain.

Solutions

Expert Solution

Since P-value >

We fail to reject the null hypothesis .

So this means that curry's probability of completing a free throw is the same with his mouth guard in as it is with his mouth guard out.

orchestra answered 1 year ago

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