Test the claim that the proportion of people who own cats is smaller than 80% at the 0.05 significancelevel.The null and alternative hypothesis would be:Ho: p=0.8 Ho: μ = 0.8 Ho: p=0.8 Ho: p=0.8 Ho: p=0.8 Ho: p=0.8H₁:0.8 H₁: > 0.8 H₁: p0.8 H₁: p > 0.8 H₁: p<0.8 H₁: μ< 0.8i:ptThe test is:right-tailed left-tailed two-tailedBased on a sample of 100 people, 74% owned catsThe test statistic is:The p-value is:Based on this we:O Reject the null hypothesisO Fail to reject the null hypothesis(to 2 decimals)(to 2 decimals)

Answered: Image /qna-images/answer/4949db28-caaa-4aca-8825-49347bcf10cf.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 people who own cats is significantly different than 80% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ 0.8 Ho:p= 0.8 Ho:µ = 0.8 Ho:p > 0.8 H1:µ > 0.8 H1:p > 0.8 H1:µ < 0.8 H1:p 0.8 H1:µ + 0.8 H1:p < 0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 84% owned cats (to 2 decimals) The p-value is: 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 smaller than 2.1 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.525H0:p=0.525H1:p<0.525H1:p<0.525 H0:p=0.525H0:p=0.525H1:p>0.525H1:p>0.525 H0:p=0.525H0:p=0.525H1:p≠0.525H1:p≠0.525 H0:μ=2.1H0:μ=2.1H1:μ≠2.1H1:μ≠2.1 H0:μ=2.1H0:μ=2.1H1:μ<2.1H1:μ<2.1 H0:μ=2.1H0:μ=2.1H1:μ>2.1H1:μ>2.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 2.06 with a standard deviation of 0.07The 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 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 mean GPA of night students is smaller than 2.2 at the .05 significance level. The null and alternative hypothesis would be? H0:μ=2.2H0:μ=2.2H1:μ>2.2H1:μ>2.2 H0:μ=2.2H0:μ=2.2H1:μ≠2.2H1:μ≠2.2 H0:p=0.55H0:p=0.55H1:p≠0.55H1:p≠0.55 H0:μ=2.2H0:μ=2.2H1:μ<2.2H1:μ<2.2 H0:p=0.55H0:p=0.55H1:p>0.55H1:p>0.55 H0:p=0.55H0:p=0.55H1:p<0.55H1:p<0.55 Based on a sample of 60 people, the sample mean GPA was 2.19 with a standard deviation of 0.06The test statistic is: (to 2 decimals)The critical value 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 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 people who own cats is significantly different than 90% at the 0.05 significance level. The null and alternative hypothesis would be: 0.9 Но: и H1:p + 0.9 H1:µ # 0.9 H1:p > 0.9 Но: р 0.9 Ho:p 0.9 Ho:H> 0.9 H1: µ > 0.9 H1:p < 0.9 H1:H < 0.9 The test is: right-tailed left-tailed two-tailed Based on a sample of 100 people, 83% owned cats
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 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 significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: Ho: 0.2 Ho:p 0.2 Ho: 0.2 O O O The test is: left-tailed two-tailed right-tailed O O Ho:p 0.2 of H₁:p> 0.2 H₁: 0.2 H₁ :p < 0.2 O O Based on a sample of 500 people, 22% owned cats The p-value is: (to 2 decimals)
Test the claim that the mean GPA of night students is smaller than 2.4 at the .05 significance level.The null and alternative hypothesis would be: H0:μ=2.4H0:μ=2.4H1:μ>2.4H1:μ>2.4 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:μ=2.4H0:μ=2.4H1:μ<2.4H1:μ<2.4 H0:p=0.6H0:p=0.6H1:p<0.6H1:p<0.6 H0:p=0.6H0:p=0.6H1:p>0.6H1:p>0.6 H0:μ=2.4H0:μ=2.4H1:μ≠2.4H1:μ≠2.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 60 people, the sample mean GPA was 2.37 with a standard deviation of 0.02The test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)
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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