Test the claim that the proportion of people who own cats is smaller than 60% at the 0.025 significancelevel.The null and alternative hypothesis would be:Ho: p=0.6 Ho:μ ≥ 0.6 Ho: p<0.6H₁: p0.6 H₁₂ μ< 0.6 H₁: p > 0.6The test is:left-tailed right-tailed two-tailedBased on a sample of 600 people, 53% owned catsThe test statistic is:The p-value is:Based on this we:Ho:p>0.6 Ho: 0.6 Ho: μ< 0.6H₁: p<0.6 H₁0.6 H₁ μ> 0.6Reject the null hypothesisO Fail to reject the null hypothesis(to 2 decimals)(to 2 decimals)=

Answered: Image /qna-images/answer/cf85971a-7fe8-4c11-bfb9-6bbca31f2794.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 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 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
Suppose that at a particular college, a random sample found that 25 out of 100 students who use the internet use Twitter. Does this provide evidence that the true proportion of students at this college who use Twitter is higher than the nationally stated 15%? Use a significance level of 0.05 and the p-value to give your decision. The correct hypotheses to use are: Ho: p = 0.15 HA: p > 0.15 Blank #1: Report the test statistic to two decimal places Blank #2: Report the p-value to four decimal places. Blank #3: Give the test decision: (reject or do not reject) Ho Blank #4: Evidence _[favors or does not favor) that the true proportion of students at this college who use Twitter is higher than the nationally stated 15%.
Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.01 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: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 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 100 people, 48% owned catsThe 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 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

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