Test the claim that the proportion of people who own cats is larger than 40% at the 0.01 significancelevel.The null and alternative hypothesis would be:Ho: µ < 0.4 Họ:p > 0.4 Ho:p< 0.4 Ho: µ > 0.4 Ho:pH1:µ > 0.4 H1:p < 0.4 H1:p > 0.4 H1: µ < 0.4 H1:p # 0.4 H1:µ # 0.4= 0.4 Ho:µ = 0.4The test is:right-tailed two-tailed left-tailedBased on a sample of 600 people, 48% owned catsThe test statistic is:(This is called the Z-Stat in your StatCrunch output.Round to 2 decimal places.)The p-value is:(Round to 2 decimal places.)Based on this we:O Fail to reject the null hypothesisO Reject the null hypothesis

Answered: Image /qna-images/answer/eefd6cc9-8b7a-4726-ac11-4acd20091abd.jpg

Answered: Test the claim that the proportion of…

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 smaller than 70% at the .05 significance level.The null and alternative hypothesis would be: H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 H0:p=0.7H0:p=0.7H1:p<0.7H1:p<0.7 H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 H0:p=0.7H0:p=0.7H1:p>0.7H1:p>0.7 H0:μ=0.7H0:μ=0.7H1:μ<0.7H1:μ<0.7 H0:μ=0.7H0:μ=0.7H1:μ>0.7H1:μ>0.7 The test is: two-tailed right-tailed left-tailed Based on a sample of 20 people, 68% 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 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 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 mean GPA of night students is larger than 2.5 at the .005 significance level. The null and alternative hypothesis would be: H 0 : μ = 2.5 H 1 : μ > 2.5 H 0 : p = 0.625 H 1 : p > 0.625 H 0 : μ = 2.5 H 1 : μ ≠ 2.5 H 0 : p = 0.625 H 1 : p < 0.625 H 0 : μ = 2.5 H 1 : μ < 2.5 H 0 : p = 0.625 H 1 : p ≠ 0.625 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.55 with a standard deviation of 0.07 The 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 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 proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level. The null and alternative hypothesis would be: Ho: PM PF = H₁ PM F = Ho: PMF Ho: PM = PF H₁: PMF H₁:PM #PF Ho: PMPF Ho: PM = HE H₁ PM> PF H₁:PM
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 smaller than 90% at the .05 significance level.The null and alternative hypothesis would be: 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: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:μ=0.9H0:μ=0.9H1:μ<0.9H1:μ<0.9 The test is: right-tailed left-tailed two-tailed Based on a sample of 20 people, 84% 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 mean GPA of night students is significantly different than 2.3 at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=2.3H0:μ=2.3H1:μ>2.3H1:μ>2.3 H0:μ=2.3H0:μ=2.3H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575H1:p<0.575H1:p<0.575 H0:p=0.575H0:p=0.575H1:p>0.575H1:p>0.575 H0:p=0.575H0:p=0.575H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3H1:μ≠2.3H1:μ≠2.3 The test is: left-tailed two-tailed right-tailed Based on a sample of 50 people, the sample mean GPA was 2.34 with a standard deviation of 0.07The 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 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

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