Test the claim that the proportion of people who own cats is larger than 60% at the 0.05 significancelevel.The null and alternative hypothesis would be:Ho:p ≤ 0.6 Ho:p> 0.6 Ho:p> 0.6 Ho: < 0.6 Ho:p 0.6 Ho:p=0.6H₁:p> 0.6 H₁ p<0.6 H₁ u<0.6 H₁> 0.6 Hp0.6 H₁0.6OThe test is:right-tailed left-tailed two-tailedOBased on a sample of 700 people, 61% owned catsThe test statistic is:The p-value is:Based on this we:O Fail to reject the null hypothesisO Reject the null hypothesis(to 2 decimals)(to 4 decimals)

We have given that p = 60% = 0.60 n = 700 p̂ = 61% = 0.61

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 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)
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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
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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 men who own cats is larger than 70% at the .025 significance level.The null and alternative hypothesis would be: 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: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:μ=0.7H0:μ=0.7H1:μ<0.7H1:μ<0.7 The test is: right-tailed two-tailed left-tailed Based on a sample of 100 people, 79% 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 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
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: Ho:µ = 0.2 Ho:H = 0.2 Ho:p= 0.2 Ho:µ = 0.2 Ho:p= 0.2 Ho:p= 0.2 H1: µ > 0.2 H1:470.2 H1:p7 0.2 H1:µ 0.2 The test is: left-tailed right-tailed two-tailed Based on a sample of 4 people, 25% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis Check Answer

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