Test the claim that the proportion of people who own cats is larger than 50% at the 0.05significance level.The null and alternative hypothesis would be:Но: р< 0.5 Но:р — 0.5 Но: н < 0.5 Но:р > 0.5 Но:д — 0.5 Но:р > 0.5Нi:р > 0.5 Н:р + 0.5 Hi:> 0.5 Hі:д < 0.5 Нi:д + 0.5 Hi:р < 0.5The test is:left-tailed right-tailed two-tailedBased on a sample of 200 people, 58% owned catsThe test statistic is:(to 2 decimals)The p-value is:(to 2 decimals)Based on this we:o Fail to reject the null hypothesisO Reject the null hypothesis

Given, Sample size = 200 Sample proportion = 0.58

Test the claim that the proportion of people who own cats is larger than 50% at the 0.05 significance level. The null and alternative hypothesis would be: Ho:p < 0.5 Ho:p = 0.5 Ho: < 0.5 Ho: u 2 0.5 Ho: µ = 0.5 Ho:p > 0.5 H1:p > 0.5 H1:p # 0.5 H1:µ > 0.5 H1: µ < 0.5 H1: µ # 0.5 H1:p < 0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 58% owned cats The test statistic is: (to 2 decimals) 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 larger than 50% at the 0.05 significance level. The null and alternative hypothesis would be: Ho:p < 0.5 Ho:p = 0.5 Ho: < 0.5 Ho: u 2 0.5 Ho: µ = 0.5 Ho:p > 0.5 H1:p > 0.5 H1:p # 0.5 H1:µ > 0.5 H1: µ < 0.5 H1: µ # 0.5 H1:p < 0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 58% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: o Fail to reject the null hypothesis O Reject the null hypothesis

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 30% at the .10 significance level. The null and alternative hypothesis would be: Ho: p=0.3 H₁:μ0.3 O Ho: p= 0.3 H₁:p> 0.3 Ο Η : μ = 0.3 Η : μ 0.3 ○ Ho: p= 0.3 H₁: p<0.3 Based on a sample of 65 people, 27% owned cats The test statistic is The critical value is Based on this we O Reject the null hypothesis O Fail to reject the null hypothesis (to 3 decimals) (to 2 decimals)
Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.02 significance level.The null and alternative hypothesis would be: H0:μ≤0.2H0:μ≤0.2H1:μ>0.2H1:μ>0.2 H0:p≥0.2H0:p≥0.2H1:p<0.2H1:p<0.2 H0:μ≥0.2H0:μ≥0.2H1:μ<0.2H1:μ<0.2 H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 H0:p≤0.2H0:p≤0.2H1:p>0.2H1:p>0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 100 people, 16% 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 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 smaller than 2.8 at the .05 significance level. The null and alternative hypothesis would be: = 2.8 Ho:p= 0.7 Ho:μ = 2.8 : Ho p= 0.7 Ho:μ = 2.8 Ho: p = 0.7 Ho:μ = H₁:p 2.8 H₁:p 0.7 H₁:μ 0.7 H₁:μ ‡ 2.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 50 people, the sample mean GPA was 2.75 with a standard deviation of 0.02 The 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 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 0.1 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 people who own cats is significantly different than 80% at the 0.2 significance level. The null and alternative hypothesis would be: Ho: p= 0.8 Ho: ≤ 0.8 Hop: 0.8 Ho:p> 0.8 Ho: 0.8 Ho:p 0.8 H₁:µ 0.8 H₁:p 0.8 The test is: right-tailed two-tailed left-tailed = Based on a sample of 300 people, 82% owned cats The p-value is: (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 0.2 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 left-tailed two-tailed Based on a sample of 40 men, 25% owned catsBased on a sample of 20 women, 30% 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
Test the claim that the proportion of people who own cats is larger than 40% at the 0.01 significance level. The null and alternative hypothesis would be: Ho: µ 0.4 Ho:p 0.4 Ho:p H1:µ > 0.4 H1:p 0.4 H1: µ < 0.4 H1:p # 0.4 H1:µ # 0.4 = 0.4 Ho:µ = 0.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 600 people, 48% owned cats The test statistic is: (This is called the Z-Stat in your StatCrunch output. Round to 2 decimal places.) The p-value is: (Round to 2 decimal places.) 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 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