**Test the Claim for Mean GPA of Night Students**Objective: Test the claim that the mean GPA of night students is significantly different from 2.4 at a 0.2 significance level.---**Hypotheses:**Choose the correct null and alternative hypotheses:- \( H_0: p = 0.6 \) \( H_1: p \neq 0.6 \)- \( H_0: \mu = 2.4 \) \( H_1: \mu \neq 2.4 \)- \( H_0: p = 0.6 \) \( H_1: p < 0.6 \)- \( H_0: \mu = 2.4 \) \( H_1: \mu < 2.4 \)- \( H_0: p = 0.6 \) \( H_1: p > 0.6 \)- \( H_0: \mu = 2.4 \) \( H_1: \mu > 2.4 \)---**Sample Data:**- Sample size: 40- Sample mean GPA: 2.37- Standard deviation: 0.05---**Calculations:**- **Test Statistic:** Enter the calculated test statistic (to 3 decimals).- **Positive Critical Value:** Enter the positive critical value (to 3 decimals).---**Decision:**Based on the calculations, choose one of the following:- Reject the null hypothesis.- Fail to reject the null hypothesis.For further assistance, click on "Message instructor."

Given data : sample size, n = 40 sample mean, x̄ = 2.37 sample standard…

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 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
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level.The null and alternative hypothesis would be: H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF The test is: left-tailed two-tailed right-tailed Based on a sample of 40 men, 35% owned catsBased on a sample of 20 women, 45% 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 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=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF Incorrect The test is: left-tailed two-tailed right-tailed Incorrect Based on a sample of 20 men, 35% owned catsBased on a sample of 80 women, 40% owned catsThe test statistic is: Incorrect (to 2 decimals)The critical value is: Incorrect (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis Incorrect Submit QuestionQuestion 6
Test the claim that the proportion of men who own cats is larger than 10% at the .10 significance level.The null and alternative hypothesis would be: H0:p=0.1H0:p=0.1H1:p>0.1H1:p>0.1 H0:μ=0.1H0:μ=0.1H1:μ<0.1H1:μ<0.1 H0:μ=0.1H0:μ=0.1H1:μ>0.1H1:μ>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 H0:p=0.1H0:p=0.1H1:p<0.1H1:p<0.1 The test is: right-tailed left-tailed two-tailed Based on a sample of 45 people, 15% 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 mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level. (a) The null and alternative hypothesis would be: H0:πN=πD H1:πN<πD H0:μN=μD H1:μN<μD H0:μN=μD H1:μN>μD H0:πN=πD H1:πN>πD H0:πN=πD H1:πN≠πD H0:μN=μD H1:μN≠μD (b) The test is: right-tailed left-tailed two-tailed The sample consisted of 45 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 45 day students, with a sample mean GPA of 3.01 and a standard deviation of 0.03. (c) The t-score is: (Round to 2 decimal places.) (d) The p-value is: (Round to 4 decimal places.) (e) Based on this we conclude: null is plausible strong support for the alternative
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 mean GPA of night students is larger than 3.2 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.8H1:p<0.8 H0:p=0.8H1:p>0.8 H0:μ=3.2H1:μ>3.2 H0:μ=3.2H1:μ≠3.2 H0:μ=3.2H1:μ<3.2 H0:p=0.8H1:p≠0.8 Based on a sample of 55 people, the sample mean GPA was 3.22 with a standard deviation of 0.03The test statistic is  (to 3 decimals)The critical value is  (to 3 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 .005 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF The test is: right-tailed left-tailed two-tailed Based on a sample of 80 men, 25% owned catsBased on a sample of 60 women, 30% 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 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 0.2 significance level.The null and alternative hypothesis would be: H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF The test is: two-tailed right-tailed left-tailed Based on a sample of 60 men, 30% owned catsBased on a sample of 40 women, 40% 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 Check AnswerQuestion 14
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:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μFH1: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 40 women, 60% 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 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: H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF The test is: right-tailed left-tailed two-tailed Based on a sample of 40 men, 45% owned catsBased on a sample of 40 women, 70% owned cats The 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

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Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level. The null and alternative hypothesis would be: Ho:p = 0.6 H1:p + 0.6 Ho: µ = 2.4 H1:µ + 2.4 O Ho:p = 0.6 H1:p < 0.6 Ο H0: μ 2.4 H1 :µ < 2.4