Test the claim that the proportion of people who own cats is larger than 50% at the 0.05 significance level.The null and alternative hypothesis would be:Ho:u = 0.5 Ho:p< 0.5 Ho:p < 0.5 Ho:p= 0.5 Hg:p > 0.5 Ho:p > 0.5H:p 0.5 H:p> 0.5 H1:p > 0.5 H1:p #0.5 H1:p < 0.5 H:p < 0.5The test is:two-tailed left-tailed right-tailedBased on a sample of 500 people, 52% owned catsThe test statistic is:(to 2 decimals)The p-value is:(to 2 decimals)Based on this we:O Fail to reject the null hypothesisCO Reject the null hypothesisCheck AnsweropC

Answered: Image /qna-images/answer/623fdc2d-bc21-4973-aad3-925e6b838f88.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 significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: H0:p≤0.2 H1:p>0.2 H0:μ≤0.2 H1:μ>0.2 H0:μ≥0.2 H1:μ<0.2 H0:p≥0.2 H1:p<0.2 H0:μ=0.2 H1:μ≠0.2 H0:p=0.2 H1:p≠0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 200 people, 22% 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
Test the claim that the proportion of men who own cats is larger than 30% at the .10 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: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 H0:p=0.3H0:p=0.3H1:p>0.3H1:p>0.3 The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 39% 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 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 people who own cats is larger than 90% at the 0.005 significance level. The null and alternative hypothesis would be: Ho: ≤0.9 Ho:p ≤ 0.9 Ho: p=0.9 Ho: ≥ 0.9 Ho: = 0.9 Ho:p> 0.9 H₁: 0.9 H₁:p > 0.9 H₁:p # 0.9 H₁: < 0.9 H₁0.9 H₁ :p < 0.9 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 91% owned cats The p-value is: Based on this we: O Fail to reject the null hypothesis Reject the null hypothesis (to 2 decimals)
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 people who own cats is smaller than 30% at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p 0.3 Ho: u > 0.3 Ho:µ 0.3 H1:p 0.3 H1:µ 0.3 H1:p # 0.3 0.3 The test is: right-tailed left-tailed two-tailed Based on a sample of 800 people, 23% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the proportion of people who own cats is larger than 30% at the 0.025 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: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 H0:p≥0.3H0:p≥0.3H1:p<0.3H1:p<0.3 The test is right-tailed left-tailed two-tailed Based on a sample of 800 people, 32% 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 people who own cats is significantly diffe significance level. The null and alternative hypothesis would be: Ο Η: μ 0.9 Ο H: μ > 0.9 Ha:µ 0.9 На:р 0.9 The test is: O two-tailed O right-tailed O left-tailed Based on a sample of 300 people, 88% owned cats The test statistic is: (Round to 2 decimals) The p-value is: (Round to 2 decimals) Based on this we: O Do not reject the null hypothesis O Reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 70% at the 0.1 significance level.The null and alternative hypothesis would be: a.) H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 b.)H0:μ=0.7H0:μ=0.7H1:μ>0.7H1:μ>0.7 C.) H0:μ=0.7H0:μ=0.7H1:μ<0.7H1:μ<0.7 D.) H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 E.) H0:p=0.7H0:p=0.7H1:p>0.7H1:p>0.7 F.) H0:p=0.7H0:p=0.7H1:p<0.7H1:p<0.7 The test is: A.)two-tailed B.)right-tailed C.)left-tailed Based on a sample of 30 people, 61% owned catsThe test statistic is: (to 2 decimals) = The positive critical value is: (to 2 decimals)=Based on this we: a.)Fail to reject the null hypothesis B.)Reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 35% at the 0.2 significance level.The null and alternative hypothesis would be: H0:μ=H0:μ=H1:μ<H1:μ<H0:p=0.35H0:p=0.35H1:p≠0.35H1:p≠0.35 H0:μ=H0:μ=H1:μ≠H1:μ≠H0:μ=H0:μ=H1:μ>H1:μ>H0:p=0.35H0:p=0.35H1:p<0.35H1:p<0.35H0:p=0.35H0:p=0.35H1:p>0.35H1:p>0.35 The test is:   right-tailed left-tailed two-tailed Based on a sample of 55 men, 255255 of the men owned catsThe test statistic is: z=z=___?___ (to 2 decimals)The positive critical value is zC=zC=1.28155.
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: 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: two-tailed left-tailed right-tailed Based on a sample of 700 people, 44% 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 people who own cats is significantly different than 20% at the 0.02 significance level.The null and alternative hypothesis would be: 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 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 left-tailed right-tailed Based on a sample of 100 people, 16% owned catsThe test statistic is:  (to 2 decimals)The p-value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

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