Test the claim that the mean GPA of night students is larger than 2.2 at the 0.01 significance level. The null and alternative hypothesis would be:   H0:p≤0.55H0:p≤0.55 H1:p>0.55H1:p>0.55 H0:p=0.55H0:p=0.55 H1:p≠0.55H1:p≠0.55 H0:μ≤2.2H0:μ≤2.2 H1:μ>2.2H1:μ>2.2 H0:μ≥2.2H0:μ≥2.2 H1:μ<2.2H1:μ<2.2 H0:μ=2.2H0:μ=2.2 H1:μ≠2.2H1:μ≠2.2 H0:p≥0.55H0:p≥0.55 H1:p<0.55H1:p<0.55 The test is:   left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 2.22 with a standard deviation of 0.07 The test statistic is:  (to 2 decimals) 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 2.2 at the 0.01 significance level.

The null and alternative hypothesis would be:

 

H0:p≤0.55H0:p≤0.55
H1:p>0.55H1:p>0.55
H0:p=0.55H0:p=0.55
H1:p≠0.55H1:p≠0.55
H0:μ≤2.2H0:μ≤2.2
H1:μ>2.2H1:μ>2.2
H0:μ≥2.2H0:μ≥2.2
H1:μ<2.2H1:μ<2.2
H0:μ=2.2H0:μ=2.2
H1:μ≠2.2H1:μ≠2.2
H0:p≥0.55H0:p≥0.55
H1:p<0.55H1:p<0.55



The test is:

 

left-tailed
right-tailed
two-tailed



Based on a sample of 75 people, the sample mean GPA was 2.22 with a standard deviation of 0.07

The test statistic is:  (to 2 decimals)

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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