Test the claim that the mean GPA of night students is larger than 2.8 at the .10 significance level.The null and alternative hypothesis would be:Ho: p=0.7 Ho: p = 0.7 Ho:μ = 2.8 Ho:H₁:p> 0.7 H₁:p < 0.7 H₁:µ> 2.8 H₁:The test is:left-tailed two-tailed right-tailed oThe test statistic is:2.8 Ho:p = 0.7 Ho:μ = 2.8 0<2.8 H₁:p 0.7 H₁: 2.8Based on a sample of 40 people, the sample mean GPA was 2.83 with a standard deviation of 0.02(to 2 decimals)The critical value is:=(to 2 decimals)

We have to test the claim that the mean GPA of night students is larger than the at the level of…

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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 significantly different than 80% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ>0.8H1:μ>0.8 H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p<0.8H1:p<0.8 H0:μ=0.8H0:μ=0.8H1:μ<0.8H1:μ<0.8 H0:p=0.8H0:p=0.8H1:p>0.8H1:p>0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 The test is: two-tailed left-tailed right-tailed Based on a sample of 35 people, 76% 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 mean GPA of night students is significantly different than 3.4 at the 0.2 significance level.The null and alternative hypotheses would be: H0:μ=3.4H0:μ=3.4H1:μ>3.4H1:μ>3.4 H0:p=0.85H0:p=0.85H1:p<0.85H1:p<0.85 H0:p=0.85H0:p=0.85H1:p≠0.85H1:p≠0.85 H0:p=0.85H0:p=0.85H1:p>0.85H1:p>0.85 H0:μ=3.4H0:μ=3.4H1:μ<3.4H1:μ<3.4 H0:μ=3.4H0:μ=3.4H1:μ≠3.4H1:μ≠3.4 Based on a sample of 31 people, the sample mean GPA was 3.37 with a standard deviation of 0.08The p-value is:  (to 3 decimals)The positive significance level is:  (to 2 decimals)
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 87% 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 smaller than 90% at the .05 significance level.The null and alternative hypothesis would be: 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 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 The test is: right-tailed two-tailed left-tailed Based on a sample of 65 people, 87% 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 I dont understand this.
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level. The null and alternative hypothesis would be: = Ho: PM = μF Ho: PM =PF Ho: M = μF Ho: PM = PF Ho: M H₁: μM ‡µF H₁: PM>PF H₁₂ : µM > µF H₁: PM/PF H₁: µM < µF H₁: PM
Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level.The null and alternative hypothesis would be: 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: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 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 The test is: right-tailed two-tailed left-tailed Based on a sample of 800 people, 67% 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 mean GPA of night students is larger than 2.1 at the 0.01 significance level. The null and alternative hypotheses would be: 0.525 Ho: u = 2.1 Ho: µ = 2.1 Ho:µ = 2.1 Ho:p 0.525 Ho:p 0.525 H:p> 0.525 H1:p+ 2.1 H:µ > 2.1 H:µ < 2.1 H1:p< 0.525 H :p + 0.525 The test is: left-tailed two-tailed right-tailed Based on a sample of 38 people, the sample mean GPA was 2.11 with a standard deviation of 0.2 The p-value is: (to 3 decimals) The significance level is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Question Help: Message instructor Submit Question N D arch
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 300 people, 74% 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 mean GPA of night students is larger than 2.2 at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.55H0:p≤0.55HA:p>0.55HA:p>0.55 H0:μ=2.2H0:μ=2.2HA:μ≠2.2HA:μ≠2.2 H0:μ≥2.2H0:μ≥2.2HA:μ<2.2HA:μ<2.2 H0:p=0.55H0:p=0.55HA:p≠0.55HA:p≠0.55 H0:p≥0.55H0:p≥0.55HA:p<0.55HA:p<0.55 H0:μ≤2.2H0:μ≤2.2HA:μ>2.2HA:μ>2.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 35 people, the sample mean GPA was 2.25 with a standard deviation of 0.03The 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 mean GPA of night students is larger than 3.3 at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p = Ho: 3.3 Ho: ≤ 3.3 Ho:p ≤ 0.825 H₁:μ 3.3 H₁: p > 0.825 0.825 Ho:p≥ 0.825 Ho:μ = 3.3 H₁:p ‡ 0.825 H₁:p < 0.825 H₁:µ ‡ 3.3 The test is: two-tailed right-tailed left-tailed Based on a sample of 50 people, the sample mean GPA was 3.33 with a standard deviation of 0.06 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 different than 70% at the 0.01 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: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 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 The test is: left-tailed right-tailed two-tailed Based on a sample of 800 people, 64% 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 mean GPA of night students is smaller than 2.5 at the 0.01 significance level.The null and alternative hypothesis would be: H0:p=0.625H0:p=0.625H1:p≠0.625H1:p≠0.625 H0:p≥0.625H0:p≥0.625H1:p<0.625H1:p<0.625 H0:μ≤2.5H0:μ≤2.5H1:μ>2.5H1:μ>2.5 H0:μ≥2.5H0:μ≥2.5H1:μ<2.5H1:μ<2.5 H0:p≤0.625H0:p≤0.625H1:p>0.625H1:p>0.625 H0:μ=2.5H0:μ=2.5H1:μ≠2.5H1:μ≠2.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 35 people, the sample mean GPA was 2.48 with a standard deviation of 0.03The 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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