Test the claim that the mean GPA of night students is larger than 3.1 at the 0.10 significance level. The null and alternative hypothesis would be:   H0:p=0.775H0:p=0.775 H1:p≠0.775H1:p≠0.775 H0:p=0.775H0:p=0.775 H1:p>0.775H1:p>0.775 H0:μ=3.1H0:μ=3.1 H1:μ>3.1H1:μ>3.1 H0:μ=3.1H0:μ=3.1 H1:μ<3.1H1:μ<3.1 H0:p=0.775H0:p=0.775 H1:p<0.775H1:p<0.775 H0:μ=3.1H0:μ=3.1 H1:μ≠3.1H1:μ≠3.1 The test is:   right-tailed

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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Test the claim that the mean GPA of night students is larger than 3.1 at the 0.10 significance level.

The null and alternative hypothesis would be:

 

  • H0:p=0.775H0:p=0.775
    H1:p≠0.775H1:p≠0.775
  • H0:p=0.775H0:p=0.775
    H1:p>0.775H1:p>0.775
  • H0:μ=3.1H0:μ=3.1
    H1:μ>3.1H1:μ>3.1
  • H0:μ=3.1H0:μ=3.1
    H1:μ<3.1H1:μ<3.1
  • H0:p=0.775H0:p=0.775
    H1:p<0.775H1:p<0.775
  • H0:μ=3.1H0:μ=3.1
    H1:μ≠3.1H1:μ≠3.1

The test is:

 

  • right-tailed
  • two-tailed
  • left-tailed



Based on a sample of 75 people, the sample mean GPA was 3.14 with a standard deviation of 0.03

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we

  • fail to reject the null hypothesis.
  • reject the null hypothesis.
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