Test the claim that the proportion of men who own cats is smaller than the proportion of women who owncats at the .01 significance level.The null and alternative hypothesis would be:Ho: HMH1: HMµf Ho:µF H1: µM < µF H1:PM < PF H1:PMµF Ho:PMPF H1:HM # µF H1:PM # PFµF Ho: µMPF Ho: рм= PF Ho::HMрм —PFThe test is:left-tailed right-tailed two-tailedBased on a sample of 80 men, 35% owned catsBased on a sample of 80 women, 45% owned catsThe test statistic is:(to 2 decimals)The critical value is:(to 2 decimals)Based on this we:Reject the null hypothesisO Fail to reject the null hypothesis

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Description: Test the claim that the proportion of men who own cats is smaller than the proportion of women who owncats at the .01 significance level.The null and alternative hypothesis would be:Ho: HMH1: HMµf Ho:µF H1: µM < µF H1:PM < PF H1:PMµF Ho:PMPF H1:HM #

Given: The proportion of men who own cats is given as:…

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Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .01 significance level. The null and alternative hypothesis would be: Ho: HM = µF Ho:µM µF Ho:PM PF Ho:PM PF Ho:µM = µF Ho:pM = PF Ні: рм > MF Hi:pм < рF Hi:рм < pr Hi:pм > pr Hi:им pp Hi:pм + pr The test is: left-tailed right-tailed two-tailed Based on a sample of 80 men, 35% owned cats Based on a sample of 80 women, 45% owned cats The test statistic is: (to 2 decimals) The critical 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 men who own cats is smaller than the proportion of women who own cats at the .01 significance level. The null and alternative hypothesis would be: Ho: HM = µF Ho:µM µF Ho:PM PF Ho:PM PF Ho:µM = µF Ho:pM = PF Ні: рм > MF Hi:pм < рF Hi:рм < pr Hi:pм > pr Hi:им pp Hi:pм + pr The test is: left-tailed right-tailed two-tailed Based on a sample of 80 men, 35% owned cats Based on a sample of 80 women, 45% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 men who own cats is smaller than the proportion of women who own
cats at the .01 significance level.
The null and alternative hypothesis would be:
Ho: HM
H1: HM
µf Ho:
µF H1: µM < µF H1:PM < PF H1:PM
µF Ho:PM
PF H1:HM # µF H1:PM # PF
µF Ho: µM
PF Ho: рм
= PF Ho:
:HM
рм —
PF
The test is:
left-tailed right-tailed two-tailed
Based on a sample of 80 men, 35% owned cats
Based on a sample of 80 women, 45% owned cats
The test statistic is:
(to 2 decimals)
The critical value is:
(to 2 decimals)
Based on this we:
Reject the null hypothesis
O Fail to reject the null hypothesis

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