est the claim that the mean GPA of night students is smaller than 2.8 at the 0.025 significance level. The null and alternative hypothesis would be: H0:μ≥2.8H0:μ≥2.8 H1:μ<2.8H1:μ<2.8 H0:p=0.7H0:p=0.7 H1:p≠0.7H1:p≠0.7 H0:μ=2.8H0:μ=2.8 H1:μ≠2.8H1:μ≠2.8 H0:p≥0.7H0:p≥0.7 H1:p<0.7H1:p<0.7 H0:p≤0.7H0:p≤0.7 H1:p>0.7H1:p>0.7 H0:μ≤2.8H0:μ≤2.8 H1:μ>2.8H1:μ>2.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 55 people, the sample mean GPA was 2.77 with a standard deviation of 0.07 The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

est the claim that the mean GPA of night students is smaller than 2.8 at the 0.025 significance level. The null and alternative hypothesis would be: H0:μ≥2.8H0:μ≥2.8 H1:μ<2.8H1:μ<2.8 H0:p=0.7H0:p=0.7 H1:p≠0.7H1:p≠0.7 H0:μ=2.8H0:μ=2.8 H1:μ≠2.8H1:μ≠2.8 H0:p≥0.7H0:p≥0.7 H1:p<0.7H1:p<0.7 H0:p≤0.7H0:p≤0.7 H1:p>0.7H1:p>0.7 H0:μ≤2.8H0:μ≤2.8 H1:μ>2.8H1:μ>2.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 55 people, the sample mean GPA was 2.77 with a standard deviation of 0.07 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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Description: Test the claim that the mean GPA of night students is smaller than 2.8 at the 0.025 significance level.The null and alternative hypothesis would be: H0:μ≥2.8H0:μ≥2.8H1:μ<2.8H1:μ<2.8H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7H0:μ=2.8H0:μ=2.8H1:μ≠2.8H1:μ≠2.8H0:p≥

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

Test the claim that the mean GPA of night students is smaller than 2.8 at the 0.025 significance level.

The null and alternative hypothesis would be:

H0:μ≥2.8H0:μ≥2.8
H1:μ<2.8H1:μ<2.8

H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7

H0:μ=2.8H0:μ=2.8
H1:μ≠2.8H1:μ≠2.8

H0:p≥0.7H0:p≥0.7
H1:p<0.7H1:p<0.7

H0:p≤0.7H0:p≤0.7
H1:p>0.7H1:p>0.7

H0:μ≤2.8H0:μ≤2.8
H1:μ>2.8H1:μ>2.8

The test is:

left-tailed

two-tailed

right-tailed

Based on a sample of 55 people, the sample mean GPA was 2.77 with a standard deviation of 0.07

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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