Test the claim that the mean GPA of night students is smaller than 2.4 at the .10 significance level. The null and alternative hypothesis would be: H0:p=0.6H0:p=0.6 H1:p≠0.6H1:p≠0.6 H0:μ=2.4H0:μ=2.4 H1:μ<2.4H1:μ<2.4 H0:μ=2.4H0:μ=2.4 H1:μ>2.4H1:μ>2.4 H0:μ=2.4H0:μ=2.4 H1:μ≠2.4H1:μ≠2.4 H0:p=0.6H0:p=0.6 H1:p>0.6H1:p>0.6 H0:p=0.6H0:p=0.6

Test the claim that the mean GPA of night students is smaller than 2.4 at the .10 significance level. The null and alternative hypothesis would be: H0:p=0.6H0:p=0.6 H1:p≠0.6H1:p≠0.6 H0:μ=2.4H0:μ=2.4 H1:μ<2.4H1:μ<2.4 H0:μ=2.4H0:μ=2.4 H1:μ>2.4H1:μ>2.4 H0:μ=2.4H0:μ=2.4 H1:μ≠2.4H1:μ≠2.4 H0:p=0.6H0:p=0.6 H1:p>0.6H1:p>0.6 H0:p=0.6H0:p=0.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Question

Test the claim that the mean GPA of night students is smaller than 2.4 at the .10 significance level.

The null and alternative hypothesis would be:

H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6

H0:μ=2.4H0:μ=2.4
H1:μ<2.4H1:μ<2.4

H0:μ=2.4H0:μ=2.4
H1:μ>2.4H1:μ>2.4

H0:μ=2.4H0:μ=2.4
H1:μ≠2.4H1:μ≠2.4

H0:p=0.6H0:p=0.6
H1:p>0.6H1:p>0.6

H0:p=0.6H0:p=0.6
H1:p<0.6H1:p<0.6

The test is:

right-tailed

left-tailed

two-tailed

Based on a sample of 30 people, the sample mean GPA was 2.35 with a standard deviation of 0.05

The test statistic is: (to 2 decimals)

The critical value is: (to 2 decimals)

Based on this we: