0 Test the claim that the proportion of men who own cats is smaller than the proportion of women who owncats at the 0.05 significance level.The null and alternative hypothesis would be:Ho: PMµf Ho:µMPF Ho:HMНа: рм # pr Hа: им < иF Ha:рм < pғ Ha: им > MF Ha:рм > pr Hа:рм prµF Ho:PMHF Ho:PM= PF Ho:PM = PF||||%3DThe test is:right-tailed left-tailed two-tailedBased on a sample of 80 men, 45% owned catsBased on a sample of 80 women, 55% owned catsThe test statistic is:(to 2 decimals)The p-value is:(to 4 decimals)Based on this we:OReject the null hypothesisO Fail to reject the null hypothesis

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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 0.05 significance level. The null and alternative hypothesis would be: Ho: HM На: рм # pr Hа: рм < pF На:рм < pғ Hа: рм > MF На:рм > pF На:рм + pr = µF Ho:µM µF Ho:PM = Pf Ho:µM = µF Ho:PM = PF Ho:PM = PF The test is: right-tailed left-tailed two-tailed Based on a sample of 80 men, 45% owned cats Based on a sample of 80 women, 55% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: O 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 0.05 significance level. The null and alternative hypothesis would be: Ho: HM На: рм # pr Hа: рм < pF На:рм < pғ Hа: рм > MF На:рм > pF На:рм + pr = µF Ho:µM µF Ho:PM = Pf Ho:µM = µF Ho:PM = PF Ho:PM = PF The test is: right-tailed left-tailed two-tailed Based on a sample of 80 men, 45% owned cats Based on a sample of 80 women, 55% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: O 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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Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.4H0:μ=0.4Ha:μ≠0.4Ha:μ≠0.4 H0:μ≤0.4H0:μ≤0.4Ha:μ>0.4Ha:μ>0.4 H0:p≤0.4H0:p≤0.4Ha:p>0.4Ha:p>0.4 H0:μ≥0.4H0:μ≥0.4Ha:μ<0.4Ha:μ<0.4 H0:p≥0.4H0:p≥0.4Ha:p<0.4Ha:p<0.4 H0:p=0.4H0:p=0.4Ha:p≠0.4Ha:p≠0.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 300 people, 41% owned catsThe p-value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis 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 0.01 significance level.The null and alternative hypothesis would be: Ho:pM=pFHo:pM=pFHa:pM>pFHa:pM>pF Ho:pM=pFHo:pM=pFHa:pM<pFHa:pM<pF Ho:pM=pFHo:pM=pFHa:pM≠pFHa:pM≠pF Ho:μM=μFHo:μM=μFHa:μM<μFHa:μM<μF Ho:μM=μFHo:μM=μFHa:μM≠μFHa:μM≠μF Ho:μM=μFHo:μM=μFHa:μM>μFHa:μM>μF The test is: left-tailed right-tailed two-tailed Based on a sample of 60 men, 45% owned catsBased on a sample of 20 women, 70% owned catsThe test statistic is: z =  (to 2 decimals) 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 men who own cats is significantly different than 40% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=0.4 H0:μ=0.4, H1:μ≠0.4 H1:μ≠0.4, H0:μ=0.4 H0:μ=0.4, H1:μ<0.4 H1:μ<0.4, H0:p=0.4 H0:p=0.4, H1:p≠0.4 H1:p≠0.4 H0:p=0.4 H0:p=0.4, H1:p>0.4 H1:p>0.4, H0:μ=0.4 H0:μ=0.4H1:μ>0.4 H1:μ>0.4, H0:p=0.4 H0:p=0.4, H1:p<0.4 H1:p<0.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 25 people, 32% owned catsThe test statistic is:  (to 2 decimals)The positive 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 40% at the .10 significance level.The null and alternative hypothesis would be: H0:p=0.4H0:p=0.4H1:p≠0.4H1:p≠0.4 H0:μ=0.4H0:μ=0.4H1:μ≠0.4H1:μ≠0.4 H0:μ=0.4H0:μ=0.4H1:μ<0.4H1:μ<0.4 H0:p=0.4H0:p=0.4H1:p<0.4H1:p<0.4 H0:p=0.4H0:p=0.4H1:p>0.4H1:p>0.4 H0:μ=0.4H0:μ=0.4H1:μ>0.4H1:μ>0.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 80 people, 34% owned catsThe test statistic is:  (to 2 decimals)The critical value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of men who own cats is smaller than 20% at the .10 significance level.The null and alternative hypothesis would be: H0:P=0.2H1:P>0.2 H0:U=0.2H1:U>0.2 H0:U=0.2H1:U≠0.2 H0:P=0.2H1:P<0.2 H0:P=0.2H1:P≠0.2 H0:U=0.2H1:U<0.2 Based on a sample of 45 people, 13% owned catsThe test statistic is  (to 3 decimals)The critical value is  (to 2 decimals)Based on this we Fail to reject the null hypothesis Reject the null hypothesis
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Test the claim that the proportion of men who own cats is significantly different than 90% at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ=0.9H0:μ=0.9H1:μ>0.9H1:μ>0.9 H0:p=0.9H0:p=0.9H1:p>0.9H1:p>0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:μ=0.9H0:μ=0.9H1:μ<0.9H1:μ<0.9 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 The test is: two-tailed right-tailed left-tailed Based on a sample of 25 people, 93% 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 hypothesis Reject the null hypothesis Submit QuestionQuestion 12
Test the claim that the proportion of men who own cats is significantly different than 30% at the 0.1 significance level.The null and alternative hypothesis would be: H0:p=0.3H0:p=0.3H1:p≠0.3H1:p≠0.3 H0:p=0.3H0:p=0.3H1:p<0.3H1:p<0.3 H0:p=0.3H0:p=0.3H1:p>0.3H1:p>0.3 H0:μ=0.3H0:μ=0.3H1:μ>0.3H1:μ>0.3 H0:μ=0.3H0:μ=0.3H1:μ≠0.3H1:μ≠0.3 H0:μ=0.3H0:μ=0.3H1:μ<0.3H1:μ<0.3 The test is: two-tailed left-tailed right-tailed Based on a sample of 70 people, 21% 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 hypothesis Reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 60% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6H1:μ<0.6H1:μ<0.6 H0:p=0.6H0:p=0.6H1:p>0.6H1:p>0.6 H0:p=0.6H0:p=0.6H1:p<0.6H1:p<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:μ=0.6H0:μ=0.6H1:μ>0.6H1:μ>0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 60 people, 66% owned catsThe test statistic is: (to 2 decimals)The positive 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 significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:p=0.8H0:p=0.8H1:p>0.8H1:p>0.8 H0:μ=0.8H0:μ=0.8H1:μ<0.8H1:μ<0.8 H0:μ=0.8H0:μ=0.8H1:μ>0.8H1:μ>0.8 H0:p=0.8H0:p=0.8H1:p<0.8H1:p<0.8 H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 87% 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 hypothesis Reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: H0:p=0.2H0:p=0.2H1:p<0.2H1:p<0.2 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 H0:μ=0.2H0:μ=0.2H1:μ>0.2H1:μ>0.2 H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ=0.2H0:μ=0.2H1:μ<0.2H1:μ<0.2 H0:p=0.2H0:p=0.2H1:p>0.2H1:p>0.2 The test is: two-tailed right-tailed left-tailed