Test the claim that the mean GPA of night students is larger than 2.7 at the 0.10 significance level. The null and alternative hypothesis would be:   H0:p≥0.675 H1:p<0.675   H0:μ=2.7 H1:μ≠2.7   H0:p≤0.675 H1:p>0.675   H0:p=0.675 H1:p≠0.675   H0:μ≤2.7 H1:μ>2.7   H0:μ≥2.7 H1:μ<2.7 The test is:   left-tailed right-tailed two-tailed Based on a sample of 35 people, the sample mean GPA was 2.71 with a standard deviation of 0.03 The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Test the claim that the mean GPA of night students is larger than 2.7 at the 0.10 significance level.

The null and alternative hypothesis would be:

 

H0:p≥0.675
H1:p<0.675
 
H0:μ=2.7
H1:μ≠2.7
 
H0:p≤0.675
H1:p>0.675
 
H0:p=0.675
H1:p≠0.675
 
H0:μ≤2.7
H1:μ>2.7
 
H0:μ≥2.7
H1:μ<2.7



The test is:

 

left-tailed
right-tailed
two-tailed



Based on a sample of 35 people, the sample mean GPA was 2.71 with a standard deviation of 0.03

The p-value is:  (to 2 decimals)

Based on this we:

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