Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level. The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8 H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8 H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8 H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8 H1:p<0.8H1:p<0.8 H0:μ≤0.8H0:μ≤0.8 H1:μ>0.8H1:μ>0.8 H0:μ≥0.8H0:μ≥0.8 H1:μ<0.8H1:μ<0.8 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 87% owned cats The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level. The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8 H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8 H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8 H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8 H1:p<0.8H1:p<0.8 H0:μ≤0.8H0:μ≤0.8 H1:μ>0.8H1:μ>0.8 H0:μ≥0.8H0:μ≥0.8 H1:μ<0.8H1:μ<0.8 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 87% owned cats 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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Description: Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8H0:p≤0.8H0:p≤0.8

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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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 proportion of people who own cats is significantly different than 80% at the 0.1 significance level.

The null and alternative hypothesis would be:

H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8

H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8

H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8

H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8

H0:μ≤0.8H0:μ≤0.8
H1:μ>0.8H1:μ>0.8

H0:μ≥0.8H0:μ≥0.8
H1:μ<0.8H1:μ<0.8

The test is:

right-tailed

left-tailed

two-tailed

Based on a sample of 200 people, 87% owned cats

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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