q u I: :I I I u II ‘-I- a

Let X be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the

percentage of successful field goals a professional basketball player makes in a season. A random

sample of n = 6 professional basketball players gave the following information. X 83 85 78 79 78 71

56 46 48 52 47 41 Given that Se 5 4.558, a % 16.847, b m 0.413, a critical value of 1.555, and , use a 1% level of significance to find the P-Value for when [3 is greater than zero.

r a Since the P-Value is greater than a = 0.01, we fail to reject the null hypothesis that the

' population slope ﬂ is not zero in favor of the alternate hypothesis that the population

slope Bis greater than zero.

r b Since the P-Value is less than a = 0.01, we reject the null hypothesis that the population

' slope B is not zero in favor of the alternate hypothesis that the population

slope B is greater than zero.

6 C Since the P-Value is equal to a = 0.01, we reject the null hypothesis that the population

' slope B is not zero in favor of the alternate hypothesis that the population

slope B is greater than zero. c d Since the P-Value is greater than a = 0.01, we reject the null hypothesis that the

' population slope B is not zero in favor of the alternate hypothesis that the population