Reference no: EM131501025

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.

x838578797871y564648524741

Given that S_e ≈ 4.558, a ≈ 16.847, b ≈ 0.413, a critical value of 1.555, and , use a 1% level of significance to find the P-Value for when β is greater than zero.

a. Since the P-Value is greater than α = 0.01, we reject the null hypothesis that the population slope β is not zero in favor of the alternate hypothesis that the population slope β is greater than zero.

b. Since the P-Value is equal to α = 0.01, we reject the null hypothesis that the population slope β is not zero in favor of the alternate hypothesis that the population slope β is greater than zero.

c. Since the P-Value is less than α = 0.01, we reject the null hypothesis that the population slope β is not zero in favor of the alternate hypothesis that the population slope β is greater than zero.

d. Since the P-Value is equal to α = 0.01, we fail to reject the null hypothesis that the population slope β is not zero in favor of the alternate hypothesis that the population slope β is greater than zero.

e. Since the P-Value is greater than α = 0.01, we fail to reject the null hypothesis that the population slope β is not zero in favor of the alternate hypothesis that the population slope β is greater than zero.