Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level. The null and alternative hypothesis would be: H0:p=0.6H0:p=0.6 H1:p<0.6H1:p<0.6 H0:p=0.6H0:p=0.6 H1:p>0.6H1:p>0.6 H0:μ=2.4H0:μ=2.4 H1:μ≠2.4H1:μ≠2.4 H0:μ=2.4H0:μ=2.4 H1:μ>2.4H1:μ>2.4 H0:p=0.6H0:p=0.6 H1:p≠0.6H1:p≠0.6 H0:μ=2.4H0:μ=2.4 H1:μ<2.4H1:μ<2.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 60 people, the sample mean GPA was 2.37 with a standard deviation of 0.03 The test statistic is:  (to 2 decimals) The positive critical value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis I dont understand this.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level.

The null and alternative hypothesis would be:

H0:p=0.6H0:p=0.6
H1:p<0.6H1:p<0.6
H0:p=0.6H0:p=0.6
H1:p>0.6H1:p>0.6
H0:μ=2.4H0:μ=2.4
H1:μ≠2.4H1:μ≠2.4
H0:μ=2.4H0:μ=2.4
H1:μ>2.4H1:μ>2.4
H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6
H0:μ=2.4H0:μ=2.4
H1:μ<2.4H1:μ<2.4



The test is:

right-tailed
left-tailed
two-tailed



Based on a sample of 60 people, the sample mean GPA was 2.37 with a standard deviation of 0.03

The test statistic is:  (to 2 decimals)

The positive critical value is:  (to 2 decimals)

Based on this we:

  • Reject the null hypothesis
  • Fail to reject the null hypothesis

I dont understand this.

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