We determine if we have evidence against the null hypothesis, in favor of the alternative hypothesis, based on how the P-value compares to our chosen significance (or alpha) level. Remember that if the P-value is less than or equal to the significance level, we say that we have evidence against the null hypothesis.  If the P-value is larger than the significance level, we do not have enough evidence against the null hypothesis (i.e., we cannot rule out the null hypothesis as a reasonable explanation for the observed sample outcome).   If we assume here, with this example, that we are using a significance level of 0.05, what should we conclude?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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  1. We determine if we have evidence against the null hypothesis, in favor of the alternative hypothesis, based on how the P-value compares to our chosen significance (or alpha) level. Remember that if the P-value is less than or equal to the significance level, we say that we have evidence against the null hypothesis.  If the P-value is larger than the significance level, we do not have enough evidence against the null hypothesis (i.e., we cannot rule out the null hypothesis as a reasonable explanation for the observed sample outcome).   If we assume here, with this example, that we are using a significance level of 0.05, what should we conclude?
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