Test the claim that the mean GPA of night students is larger than 2.9 at the 0.05 significance level. The null and alternative hypothesis would be:   H0:p≤0.725H0:p≤0.725 H1:p>0.725H1:p>0.725 H0:μ=2.9H0:μ=2.9 H1:μ≠2.9H1:μ≠2.9 H0:p=0.725H0:p=0.725 H1:p≠0.725H1:p≠0.725 H0:p≥0.725H0:p≥0.725 H1:p<0.725H1:p<0.725 H0:μ≤2.9H0:μ≤2.9 H1:μ>2.9H1:μ>2.9 H0:μ≥2.9H0:μ≥2.9 H1:μ<2.9H1:μ<2.9 The test is:   left-tailed right-tailed two-tailed Based on a sample of 30 people, the sample mean GPA was 2.95 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
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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 2.9 at the 0.05 significance level.

The null and alternative hypothesis would be:

 

H0:p≤0.725H0:p≤0.725
H1:p>0.725H1:p>0.725
H0:μ=2.9H0:μ=2.9
H1:μ≠2.9H1:μ≠2.9
H0:p=0.725H0:p=0.725
H1:p≠0.725H1:p≠0.725
H0:p≥0.725H0:p≥0.725
H1:p<0.725H1:p<0.725
H0:μ≤2.9H0:μ≤2.9
H1:μ>2.9H1:μ>2.9
H0:μ≥2.9H0:μ≥2.9
H1:μ<2.9H1:μ<2.9



The test is:

 

left-tailed
right-tailed
two-tailed



Based on a sample of 30 people, the sample mean GPA was 2.95 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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