et 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 y 56 46 48 52 47 41 Given that Se ≈ 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.     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.   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.   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.   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.   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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question

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

y

56

46

48

52

47

41


Given that Se ≈ 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.

 

 

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.

 

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.

 

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.

 

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.

 

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.

Expert Solution
Step 1

Given that Se ≈ 4.558, a ≈ 16.847, b  0.413, a critical value of 1.555, and , use a 1% level of significance.

 

 

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