Test the claim that the proportion of people who own cats is larger than 20% at the 0.005significance level.The null and alternative hypothesis would be:H2:p = 0.2 Họ:p 2 0.2 H9:p < 0.2 H9:µ > 0.2 H9:p = 0.2 Hg: u < 0.2H1:p + 0.2 H1:p< 0.2 H1:p > 0.2 H1: u < 0.2 H1:4 0.2 H1:4 > 0.2The test is:left-tailed two-tailed right-tailedBased on a sample of 300 people, 24% owned catsThe test statistic is:(to 2 decimals)The p-value is:(to 2 decimals)Based on this we:O Reject the null hypothesisO Fail to reject the null hypothesis

we have given that population proportion P=20% =0.20 sample proportion p^=24%=0.24 and sample size…

Test the claim that the proportion of people who own cats is larger than 20% at the 0.005 significance level. The null and alternative hypothesis would be: He:p = 0.2 Hạ:p> 0.2 Ho:p< 0.2 Hạ:µ 2 0.2 H9:µ =- 0.2 Hạ:µ < 0.2 Hi:p + 0.2 Hị:p < 0.2 H1:p> 0.2 H1:µ < 0.2 Hi:p + 0.2 Hi:µ > 0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 300 people, 24% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis

Test the claim that the proportion of people who own cats is larger than 20% at the 0.005 significance level. The null and alternative hypothesis would be: He:p = 0.2 Hạ:p> 0.2 Ho:p< 0.2 Hạ:µ 2 0.2 H9:µ =- 0.2 Hạ:µ < 0.2 Hi:p + 0.2 Hị:p < 0.2 H1:p> 0.2 H1:µ < 0.2 Hi:p + 0.2 Hi:µ > 0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 300 people, 24% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to 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 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 people who own cats is significantly different than 40% at the 0.05 significance level.The null and alternative hypothesis would be: 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: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:p≤0.4H0:p≤0.4H1:p>0.4H1:p>0.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 600 people, 32% 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 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 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 men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level.The null and alternative hypothesis would be: H0:μM=μFH1:μM<μF H0:μM=μFH1:μM>μF H0:pM=pFH1:pM≠pF H0:pM=pFH1:pM>pF H0:pM=pFH1:pM<pF H0:μM=μFH1:μM≠μF The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 25% owned catsBased on a sample of 60 women, 45% owned catsThe 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 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
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