Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.05significance level.The null and alternative hypothesis would be:Ho p≥ 0.6 Ho: p=0.6 Hop=2.4 Ho: p ≤ 0.6 Ho: ≤2.4 Ho:μ ≥ 2.4H₁: p<0.6 H₁: p‡0.6 H₁ μ‡2.4 H₁: p>0.6 H₁: μ> 2.4 H₁: μ< 2.4The test is:left-tailed right-tailedOBased on a sample of 65 people, the sample mean GPA was 2.44 with a standard deviation of 0.03The test statistic is:(to 2 decimals)The p-value is:two-tailedOBased on this we:O Fail to reject the null hypothesisO Reject the null hypothesis(to 2 decimals)

Answered: Image /qna-images/answer/8e17f541-cc1f-4aae-a291-da75cf038f57.jpg

Answered: Test the claim that the mean GPA 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 2.2 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 significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: H0:p≤0.2 H1:p>0.2 H0:μ≤0.2 H1:μ>0.2 H0:μ≥0.2 H1:μ<0.2 H0:p≥0.2 H1:p<0.2 H0:μ=0.2 H1:μ≠0.2 H0:p=0.2 H1:p≠0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 200 people, 22% owned cats The 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 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 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 mean GPA of night students is significantly different than 3 at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≥3 H1:μ<3 H0:μ≤3 H1:μ>3 H0:p≥0.75 H1:p<0.75 H0:p≤0.75 H1:p>0.75 H0:μ=3 H1:μ≠3 H0:p=0.75 H1:p≠0.75 The test is: right-tailed two-tailed left-tailed Based on a sample of 60 people, the sample mean GPA was 3.03 with a standard deviation of 0.08The 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 3.5 at the 0.01 significance level.The null and alternative hypothesis would be: H0:p≤0.875H0:p≤0.875H1:p>0.875H1:p>0.875 H0:μ≥3.5H0:μ≥3.5H1:μ<3.5H1:μ<3.5 H0:μ=3.5H0:μ=3.5H1:μ≠3.5H1:μ≠3.5 H0:p≥0.875H0:p≥0.875H1:p<0.875H1:p<0.875 H0:μ≤3.5H0:μ≤3.5H1:μ>3.5H1:μ>3.5 H0:p=0.875H0:p=0.875H1:p≠0.875H1:p≠0.875 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 3.51 with a standard deviation of 0.06The 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 Question HelpQuestion 2: Message Message instruct
Test the claim that the mean GPA of night students is smaller than 3.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p = 0.85 Ho:µ 0.85 Ho:µ= 3.4 Ho:µ > 3.4 H1:p + 0.85 H1:µ > 3.4 H1:p > 0.85 H1:p < 0.85 H1:µ # 3.4 H1:µ < 3.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 20 people, the sample mean GPA was 3.39 with a standard deviation of 0.02 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 mean GPA of night students is smaller than 2.4 at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=2.4H0:μ=2.4H1:μ≠2.4H1:μ≠2.4 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 Correct The test is: right-tailed left-tailed two-tailed Correct Based on a sample of 80 people, the sample mean GPA was 2.37 with a standard deviation of 0.07The 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 smaller than 80% at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p = 0.8 Họ:µ > 0.8 Ho:p 0.8 Hị: µ > 0.8 H1:µ + 0.8 H1:p< 0.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 500 people, 75% owned cats The p-value is: (to 2 decimals)
Test the claim that the mean GPA of night students is significantly different than 2 at the 0.2 significance level.The null and alternative hypothesis would be: H0:μ≥2H0:μ≥2H1:μ<2H1:μ<2 H0:μ≤2H0:μ≤2H1:μ>2H1:μ>2 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=2H0:μ=2H1:μ≠2H1:μ≠2 The test is: right-tailed two-tailed left-tailed Based on a sample of 25 people, the sample mean GPA was 1.97 with a standard deviation of 0.06The 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 proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level.The null and alternative hypothesis would be: 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 H0:μM=μFH1:μM>μF The test is: right-tailed left-tailed two-tailed Based on a sample of 20 men, 40% owned catsBased on a sample of 60 women, 55% 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

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