Test the claim that the mean GPA of night students is smaller than 2.3 at the 0.025 significance level. The null and alternative hypothesis would be:   H0:μ≤2.3 H1:μ>2.3   H0:p≤0.575 H1:p>0.575   H0:p=0.575 H1:p≠0.575   H0:μ=2.3 H1:μ≠2.3   H0:μ≥2.3 H1:μ<2.3   H0:p≥0.575 H1:p<0.575 The test is:   left-tailed two-tailed right-tailed Based on a sample of 80 people, the sample mean GPA was 2.26 with a standard deviation of 0.04 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

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 smaller than 2.3 at the 0.025 significance level.

The null and alternative hypothesis would be:

 

H0:μ≤2.3
H1:μ>2.3
 
H0:p≤0.575
H1:p>0.575
 
H0:p=0.575
H1:p≠0.575
 
H0:μ=2.3
H1:μ≠2.3
 
H0:μ≥2.3
H1:μ<2.3
 
H0:p≥0.575
H1:p<0.575



The test is:

 

left-tailed
two-tailed
right-tailed



Based on a sample of 80 people, the sample mean GPA was 2.26 with a standard deviation of 0.04

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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