Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level.The null and alternative hypothesis would be:H0:μM=μFH1:μM<μF H0:μM=μFH1:μM>μF H0:pM=pFH1:pM≠pF H0:pM=pFH1:pM>pF H0:pM=pFH1:pM<pF H0:μM=μFH1:μM≠μFThe test is:right-tailedleft-tailedtwo-tailedBased on a sample of 60 men, 25% owned catsBased on a sample of 60 women, 45% owned catsThe test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we:Fail to reject the null hypothesisReject the null hypothesis

Given that Claim : The proportion of men who own cats is significantly different than the proportion of women who own cats . Men sample size (n1)= 60 with Proportion (pM) = 25% = 0.25 Women sample size (n2) = 60 with Proportion (pF) = 45%=0.45 we know that p^=(n1pM +n2pF)n1+n2 =(60x0.25 + 60x0.45)60+60=(15+27)120=0.35q^=(1-p^) = (1-0.35) = 0.65Null hypothesis H0 : pM=pF Alternative hypothesis H1:pM≠pF ( Two tailed test) Level of significance (α) = 0.01 Test statistic Z=(pM-pF)p^q^1n1+1n2 Z=(0.25-0.45)0.35x0.65x160+160=-0.200.08708 = -2.2966 ≃2.29 Test statistic is 2.29 (We taken positive value because which is two tailed test) Critical value - At 0.01 significance level ,Two tailed test Z-critical value is 2.58 Conclusion : Here Z-test statistic < Z-critical value ( 2.29 < 2.58 ) So, we Fail to reject the null hypothesis .

Answered: proportion of men who own cats is…

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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Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:μM=μF
H1:μM<μF

H0:μM=μF
H1:μM>μF

H0:pM=pF
H1:pM≠pF

H0:pM=pF
H1:pM>pF

H0:pM=pF
H1:pM<pF

H0:μM=μF
H1:μM≠μF

The test is:

right-tailed
left-tailed
two-tailed

Based on a sample of 60 men, 25% owned cats
Based on a sample of 60 women, 45% owned cats

The test statistic is: (to 2 decimals)

The positive critical value is: (to 2 decimals)

Based on this we:

Fail to reject the null hypothesis
Reject the null hypothesis

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