Test the claim that the proportion of people who own cats is smaller than 60% at the 0.005 significancelevel.The null and alternative hypothesis would be:Но : р — 0.6 Но:р> 0.6 Но:д < 0.6 Но:р < 0.6 Но:д > 0.6 Но:р %3 0.6H:n # 0.6 Hi:р<0.6 H:и > 0.6 H:р> 0.6 Hi:р < 0.6 Hi:p +0.6The test is:left-tailed two-tailed right-tailedBased on a sample of 500 people, 53% owned catsThe test statistic is:(to 2 decimals)The p-value is:(to 2 decimals)

Name: Test the claim that the proportion of people who own cats is smaller
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Description: Test the claim that the proportion of people who own cats is smaller than 60% at the 0.005 significancelevel.The null and alternative hypothesis would be:Но : р — 0.6 Но:р> 0.6 Но:д 0.6 Но:р %3 0.6H:n # 0.6 Hi:р 0.6

Introduction: Denote p as the true proportion of people who owned cats.

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Test the claim that the proportion of people who own cats is smaller than 60% at the 0.005 significance level. The null and alternative hypothesis would be: Но: и 3 0.6 Но:р20.6 Но:д < 0.6 Но:р < 0.6 Но: и > 0.6 Но:р — 0.6 H1: u + 0.6 H1:p < 0.6 Hj:µ > 0.6 Hị:p > 0.6 H1:u < 0.6 H1:p+ 0.6 The test is: left-tailed two-tailed right-tailed Based on a sample of 500 people, 53% owned cats The test statistic is: (to 2 decimals) The p-value is: |(to 2 decimals)

Test the claim that the proportion of people who own cats is smaller than 60% at the 0.005 significance level. The null and alternative hypothesis would be: Но: и 3 0.6 Но:р20.6 Но:д < 0.6 Но:р < 0.6 Но: и > 0.6 Но:р — 0.6 H1: u + 0.6 H1:p < 0.6 Hj:µ > 0.6 Hị:p > 0.6 H1:u < 0.6 H1:p+ 0.6 The test is: left-tailed two-tailed right-tailed Based on a sample of 500 people, 53% owned cats The test statistic is: (to 2 decimals) The p-value is: |(to 2 decimals)

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 proportion of men who own cats is larger than 60% at the .10 significance level. The null and alternative hypothesis would be: Но :р — 0.6 Но:д %— 0.6 Но:р %3D 0.6 Но:р —D 0.6 Но:р — 0.6 Но: д — 0.6 Н:р 0.6 Hi:р#0.6 Hi:р> 0.6 Hi:n # 0.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 60 people, 68% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to 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 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: PM µF Ho:PM PF Ho:UM pF Ho: им — pF Ho:рм — pғ Но:рм Ні: рм # pr Hi:рм > pF Hі: рм > иF Hі:рм < pr Hi:рм # pr Hі: рм < pF = µF The test is: left-tailed right-tailed two-tailed Based on a sample of 80 men, 35% owned cats Based on a sample of 80 women, 50% owned cats The test statistic is: (to 2 decimals) The p-value is: |(to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to 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: Но: дм — ир Но: РM PF Ho: рм 3 Рr Но: дм —D Pr Но: им — pр Но: рм H:: им # ир H:рм > PF Н: дм НF The test is: two-tailed right-tailed left-tailed Based on a sample of 40 men, 25% owned cats Based on a sample of 80 women, 35% owned cats (to 2 decimals) The test statistic is: 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 mean GPA of night students is larger than 3.5 at the .005 significance level. The null and alternative hypothesis would be: Но: р — 0.875 Н,: р — 0.875 Но: р — 3.5 Но: р — 3.5 Но:р — 0.875 Hо: д — 3.5 Hа:р> 0.875 Н,:р40.875 H,:и # 3.5 Н;:и 3.5 The test is: two-tailed right-tailed left-tailed Based on a sample of 25 people, the sample mean GPA was 3.55 with a standard deviation of 0.04 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than 60% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 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=0.6H0:μ=0.6H1:μ>0.6H1:μ>0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 H0:μ=0.6H0:μ=0.6H1:μ<0.6H1:μ<0.6 The test is: left-tailed right-tailed two-tailed Based on a sample of 40 people, 65% 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 larger than 3.2 at the 0.01 significance level. The null and alternative hypotheses would be: Но: д — 3.2 Но: р — 3.2 Но:р — 3.2 Но:р — 0.8 Но:р — 0.8 Но:р — 0.8 0.8 Ho:p %3D Hi:д 3.2 Ні:д 3.2 Hi:р > 0.8 H:р < 0.8 Ні:р 0.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 31 people, the sample mean GPA was 3.24 with a standard deviation of 0.14 The p-value is: | (to 3 decimals) The significance level 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 2.7 at the .10 significance level. The null and alternative hypothesis would be: Ho: : р %3D 0.675 Но:р %3D 0.675 Но: д 3 2.7 Но:д 3 2.7 Но: Д — 2.7 Но:р %3D 0.675 Нi:р > 0.675 Hі:p 2.7 Hі:р 2 0.675 The test is: left-tailed two-tailed right-tailed Based on a sample of 55 people, the sample mean GPA was 2.72 with a standard deviation of 0.07 The test statistic is: (to 2 decimals) The critical 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 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: Но: Им — Пр Но: рм — Рғ Но: им — Др Но: Ам — Ир Но: рм — Pғ Но:рм — Рr Hi: дм > Нр H:рм > РF Hi: Дм < Mp Hi:рим + pp Hi:рм + PF Hi:рм < PF The test is: left-tailed two-tailed right-tailed Based on a sample of 60 men, 35% owned cats Based on a sample of 80 women, 40% owned cats |(to 2 decimals) The test statistic is: The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O 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)
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