Test the claim that the proportion of people who own cats is larger than 50% at the 0.05significance level.The null and alternative hypothesis would be:Но: р< 0.5 Но:р — 0.5 Но: н < 0.5 Но:р > 0.5 Но:д — 0.5 Но:р > 0.5Нi:р > 0.5 Н:р + 0.5 Hi:> 0.5 Hі:д < 0.5 Нi:д + 0.5 Hi:р < 0.5The test is:left-tailed right-tailed two-tailedBased on a sample of 200 people, 58% 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 hypothesisO Reject the null hypothesis

Given, Sample size = 200 Sample proportion = 0.58

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:p < 0.5 Ho:p = 0.5 Ho: < 0.5 Ho: u 2 0.5 Ho: µ = 0.5 Ho:p > 0.5 H1:p > 0.5 H1:p # 0.5 H1:µ > 0.5 H1: µ < 0.5 H1: µ # 0.5 H1:p < 0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 58% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: o 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 50% at the 0.05 significance level. The null and alternative hypothesis would be: Ho:p < 0.5 Ho:p = 0.5 Ho: < 0.5 Ho: u 2 0.5 Ho: µ = 0.5 Ho:p > 0.5 H1:p > 0.5 H1:p # 0.5 H1:µ > 0.5 H1: µ < 0.5 H1: µ # 0.5 H1:p < 0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 58% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: o Fail to reject the null hypothesis O Reject the null hypothesis

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 mean GPA of night students is smaller than 2.6 at the 0.01 significance level.The null and alternative hypotheses would be: H0:p=0.65H1:p<0.65 H0:p=0.65H1:p>0.65 H0:p=0.65H1:p≠0.65 H0:μ=2.6H1:μ≠2.6 H0:μ=2.6H1:μ<2.6 H0:μ=2.6H1:μ>2.6 Based on a sample of 33 people, the sample mean GPA was 2.59 with a standard deviation of 0.2The p-value is:  (to 3 decimals)The significance level is:  (to 2 decimals)
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 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
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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 people who own cats is significantly different than 10% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≥0.1�0:�≥0.1H1:p<0.1�1:�<0.1 H0:p=0.1�0:�=0.1H1:p≠0.1�1:�≠0.1 H0:μ≥0.1�0:�≥0.1H1:μ<0.1�1:�<0.1 H0:μ≤0.1�0:�≤0.1H1:μ>0.1�1:�>0.1 H0:p≤0.1�0:�≤0.1H1:p>0.1�1:�>0.1 H0:μ=0.1�0:�=0.1H1:μ≠0.1�1:�≠0.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 18% owned catsThe 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 mean GPA of night students is larger than 2.9 at the 0.025 significance level. The null and alternative hypothesis would be: Ho: µ = 2.9 Ho:u > 2.9 Ho: µ 2.9 H1:p 0.725 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, the sample mean GPA was 2.94 with a standard deviation of 0.06 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Add Work
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
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