Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.05 significance level. The null and alternative hypothesis would be: Но: р < 0.4 Но:р %3D 0.4 Но: n < 0.4 Нo: д 2 0.4 H1:p > 0.4 H1:p # 0.4 H1:µ > 0.4 H1:µ < 0.4 Но: р > 0.4 Но: д — 0.4 H1:p < 0.4 H1:4 70.4 The test is: two-tailed right-tailed left-tailed Based on a sample of 800 people, 32% owned cats The p-value is: (to 2 dec als) Based on this we: Fail to reject the null hypothesis |Reject the null hypothesis

Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.05 significance level. The null and alternative hypothesis would be: Но: р < 0.4 Но:р %3D 0.4 Но: n < 0.4 Нo: д 2 0.4 H1:p > 0.4 H1:p # 0.4 H1:µ > 0.4 H1:µ < 0.4 Но: р > 0.4 Но: д — 0.4 H1:p < 0.4 H1:4 70.4 The test is: two-tailed right-tailed left-tailed Based on a sample of 800 people, 32% owned cats The p-value is: (to 2 dec als) Based on this we: Fail to reject the null hypothesis |Reject the null hypothesis

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Description: Test the claim that the proportion of people who own catsis significantly different than 40% at the 0.05 significancelevel.The null and alternative hypothesis would be:Но: р 0.4 H1:p # 0.4 H1:µ > 0.4

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 larger than 25% at the .005 significance level.The null and alternative hypothesis would be: H0:μ=H0:μ=H1:μ≠H1:μ≠ H0:μ=H0:μ=H1:μ<H1:μ< H0:p=0.25H0:p=0.25H1:p<0.25H1:p<0.25 H0:p=0.25H0:p=0.25H1:p>0.25H1:p>0.25 H0:p=0.25H0:p=0.25H1:p≠0.25H1:p≠0.25 H0:μ=H0:μ=H1:μ>H1:μ> The test is: two-tailed left-tailed right-tailed In a random sample of 95 men, 22 men owned cats.The P-value of this sample is (to 4 decimals).Based on this we: Select an answer Reject the null hypothesis Fail to reject the null hypothesis We address the original claim with the conclusion. There is insufficient evidence to reject the proportion of men who own cats is 25% with .005 significance level. There is insufficient evidence that the proportion of men who own cats is larger than 25% with .005 significance level. The proportion of men who own cats is larger than 25% with .005 significance level. The proportion of men who own cats…
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ 0.8 Ho:p= 0.8 Ho:µ = 0.8 Ho:p > 0.8 H1:µ > 0.8 H1:p > 0.8 H1:µ < 0.8 H1:p 0.8 H1:µ + 0.8 H1:p < 0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 84% owned cats (to 2 decimals) The p-value is: Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 3.1 at the .025 significance level.The null and alternative hypothesis would be: H0:μ=3.1H0:μ=3.1H1:μ<3.1H1:μ<3.1 H0:μ=3.1H0:μ=3.1H1:μ≠3.1H1:μ≠3.1 H0:p=0.775H0:p=0.775H1:p<0.775H1:p<0.775 H0:μ=3.1H0:μ=3.1H1:μ>3.1H1:μ>3.1 H0:p=0.775H0:p=0.775H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775H1:p≠0.775H1:p≠0.775 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 3.15 with a standard deviation of 0.03The 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 larger than 30% at the .025 significance level.The null and alternative hypothesis would be: 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: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 The test is: two-tailed right-tailed left-tailed Based on a sample of 65 people, 39% owned catsThe 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 significantly different than 20% at the 0.2 significance level. The null and alternative hypothesis would be: Ho:p = 0.2 H1:p 0.2 Ho:µ = 0.2 Η :μ > 0.2 Ho:p = 0.2 H1:p + 0.2 Ho: µ = 0.2 Η : μ< 0.2 Based on a sample of 65 people, 18% owned cats The test statistic is The positive critical value is 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 larger than 50% at the .025 significance level.The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, 51% 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 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≠μF The test is: right-tailed left-tailed two-tailed Based 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 hypothesis Reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level.The null and alternative hypothesis would be: H0:pM=pF H1:pM≠pF H0:μM=μFH1:μM>μF H0:μM=μFH1:μM≠μF H0:pM=pFH1:pM>pF H0:pM=pF H1:pM<pF H0:μM=μFH1:μM<μF The test is: right-tailed two-tailed left-tailed Based on a sample of 40 men, 40% owned catsBased on a sample of 60 women, 45% owned catsThe test statistic is:  (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 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
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: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 The test is: left-tailed right-tailed two-tailed Based on a sample of 40 people, 65% 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 the proportion of women who own cats at the .005 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF The test is: left-tailed two-tailed right-tailed Based on a sample of 20 men, 30% owned catsBased on a sample of 60 women, 50% 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 mean GPA of night students is smaller than 2.4 at the .05 significance level.The null and alternative hypothesis would be: H0:μ=2.4H0:μ=2.4H1:μ>2.4H1:μ>2.4 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:μ=2.4H0:μ=2.4H1:μ<2.4H1:μ<2.4 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=2.4H0:μ=2.4H1:μ≠2.4H1:μ≠2.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 60 people, the sample mean GPA was 2.37 with a standard deviation of 0.02The test statistic is:  (to 2 decimals)The critical value is:  (to 2 decimals)