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 Ho:µ < 0.8 Ho:µ = 0.8 Họ:p 2 0.8 H1:p + 0.8 Hị:µ < 0.8 H1: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 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 Ho:µ < 0.8 Ho:µ = 0.8 Họ:p 2 0.8 H1:p + 0.8 Hị:µ < 0.8 H1: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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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Test the claim that the proportion of people who own cats is larger than 60% at the 0.05 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: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 The test is: two-tailed left-tailed right-tailed Based on a sample of 200 people, 69% 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 20% at the .005 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: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: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 50 people, 26% 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 proportion of people who own cats is smaller 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: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 H0:μ≤0.4H0:μ≤0.4H1:μ>0.4H1:μ>0.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 33% 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 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
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