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 >= 6 professional basketball players gave the following information. 81 64 67 72 73 73 y 51 46 40 47 47 46 Given that S, *2.684, a~14.237, b~0.446, and x*71.667, use a 1% level of significance to find the P-Value and test for the claim that (slope of the population regression line) is greater than zero. O Since the P-Value is is greater than than = 0.01, we fail to reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope 8 is greater than zero. is not zero in favor of the alternate hypothesis that the population slope O Since the P-Value is is greater than than a = 0.01, we reject the null hypothesis that the population slope O Since the P-Value is is less than than a = 0.01, we reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is greater than zero. is greater than zero. is greater than zero. is not zero in favor of the alternate hypothesis that the population slope O Since the P-Value is is equal to than α = 0.01, we reject the null hypothesis that the population slope O Since the P-Value is is less than than α = 0.01, we fail to reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is greater than zero.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 >= 6 professional basketball players gave the following information.
81 64 67 72 73 73
y 51 46 40 47 47 46
X
Given that S * 2.684, a*14.237, b≈ 0.446, and x*71.667, use a 1% level of significance to find the P-Value and test for the claim that (slope of the population regression line) is
greater than zero.
O Since the P-Value is is greater than than = 0.01, we fail to reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is greater
than zero.
O Since the P-Value is is greater than than
= 0.01, we reject the null hypothesis that the population slope
O Since the P-Value is is less than than a = 0.01, we reject the null hypothesis that the population slope
is not zero in favor of the alternate hypothesis that the population slope
is not zero in favor of the alternate hypothesis that the population slope
is greater than zero.
is greater than zero.
is not zero in favor of the alternate hypothesis that the population slope
O Since the P-Value is is equal to than a = 0.01, we reject the null hypothesis that the population slope
O Since the P-Value is is less than than = 0.01, we fail to reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is greater than
zero.
is greater than zero.
Transcribed Image Text: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 >= 6 professional basketball players gave the following information. 81 64 67 72 73 73 y 51 46 40 47 47 46 X Given that S * 2.684, a*14.237, b≈ 0.446, and x*71.667, use a 1% level of significance to find the P-Value and test for the claim that (slope of the population regression line) is greater than zero. O Since the P-Value is is greater than than = 0.01, we fail to reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is greater than zero. O Since the P-Value is is greater than than = 0.01, we reject the null hypothesis that the population slope O Since the P-Value is is less than than a = 0.01, we reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is greater than zero. is greater than zero. is not zero in favor of the alternate hypothesis that the population slope O Since the P-Value is is equal to than a = 0.01, we reject the null hypothesis that the population slope O Since the P-Value is is less than than = 0.01, we fail to reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is greater than zero. is greater than zero.
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