Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2significance level.The null and alternative hypothesis would be:Ho: p= 0.8 Ho: ≤ 0.8 Hop:0.8Ho:p> 0.8 Ho: 0.8 Ho:p < 0.8 0H₁: p0.8 H₁:μ> 0.8 H₁:µ 0.8 H₁:p < 0.8 H₁: < 0.8 H₁:p> 0.8The test is:right-tailed two-tailed left-tailed=Based on a sample of 300 people, 82% owned catsThe p-value is:(to 2 decimals)

Given information: The sample size is n=300. The sample proportion is p^=0.82. The claim is that the…

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 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: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 H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF The test is: left-tailed right-tailed two-tailed Based on a sample of 40 men, 25% owned catsBased on a sample of 40 women, 30% 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 larger than 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho p≥ 0.6 Ho:μ ≤ 2.4 Ho:p ≤ 0.6 H₁ p 2.4 H₁:p > 0.6 Ho:. :p= 0.6 Ho:} > 2.4 Ho: = 2.4 H₁:p‡ 0.6 H₁:μ< 2.4 H₁:µ ‡ 2.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.41 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 proportion of people who own cats is smaller than 50% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p≤0.5H0:p≤0.5Ha:p>0.5Ha:p>0.5 H0:μ≥0.5H0:μ≥0.5Ha:μ<0.5Ha:μ<0.5 H0:p=0.5H0:p=0.5Ha:p≠0.5Ha:p≠0.5 H0:p≥0.5H0:p≥0.5Ha:p<0.5Ha:p<0.5 H0:μ=0.5H0:μ=0.5Ha:μ≠0.5Ha:μ≠0.5 H0:μ≤0.5H0:μ≤0.5Ha:μ>0.5Ha:μ>0.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 700 people, 43% owned catsThe test statistic is: (Round to 2 decimals)The p-value is: (Round to 2 decimals)Based on this we: Reject the null hypothesis Do not reject the null hypothesis
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 larger than 24% at the .025 significance level. The null and alternative hypothesis would be: Ho:p = 0.24 Ho: = 0.24 Ho: u = 0.24 Ho:p = 0.24 Ho:u = 0.24 Ho:p 0.24 H1:p 0.24 H1:µ > 0.24 H1:µ # 0.24 H:p 0.24 The test is: right-tailed two-tailed left-tailed ㅇ Based on a sample of 60 people, 16 2/3% owned cats The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Submit Question • Previous DEC 11 étv
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
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 daim 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: Ho: HM > Hp Ho:PM > PF Ho:PM PF H1:µM > µp H1:PM + PF H1:µM + µp The test is: right-tailed left-tailed two-tailed Based on a sample of 20 men, 40% owned cats Based on a sample of 60 women, 60% owned cats test statistic = [three decimal accuracy] p-value = [three decimal accuracy] Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: 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 H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 87% 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 mean GPA of night students is significantly different than 3.5 at the 0.05 significance level. The null and alternative hypothesis would be: Ho :p > 0.875 На:р 0.875 O Ho : µ 3.5 Ho :p = 0.875 Ha:p + 0.875 O Ho : µ > 3.5 На: д < 3.5 The test is: O right-tailed left-tailed O two-tailed
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 larger than 80% at the 0.01 significance level.The null and alternative hypothesis would be: �0:�=0.8�1:�≠0.8 �0:�≤0.8�1:�>0.8 �0:�≥0.8�1:�<0.8 �0:�≥0.8�1:�<0.8 �0:�≤0.8�1:�>0.8 �0:�=0.8�1:�≠0.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 800 people, 89% owned catsThe p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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