The null and alternative hypothesis would be: H0:p=0.1H0:p=0.1 H1:p≠0.1H1:p≠0.1 H0:μ≥0.1H0:μ≥0.1 H1:μ<0.1H1:μ<0.1 H0:p≥0.1H0:p≥0.1 H1:p<0.1H1:p<0.1 H0:μ=0.1H0:μ=0.1 H1:μ≠0.1H1:μ≠0.1 H0:μ≤0.1H0:μ≤0.1 H1:μ>0.1H1:μ>0.1 H0:p≤0.1H0:p≤0.1 H1:p>0.1H1:p>0.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 800 people, 4% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis

The null and alternative hypothesis would be: H0:p=0.1H0:p=0.1 H1:p≠0.1H1:p≠0.1 H0:μ≥0.1H0:μ≥0.1 H1:μ<0.1H1:μ<0.1 H0:p≥0.1H0:p≥0.1 H1:p<0.1H1:p<0.1 H0:μ=0.1H0:μ=0.1 H1:μ≠0.1H1:μ≠0.1 H0:μ≤0.1H0:μ≤0.1 H1:μ>0.1H1:μ>0.1 H0:p≤0.1H0:p≤0.1 H1:p>0.1H1:p>0.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 800 people, 4% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis

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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What is meant by the sample space of an experiment?
Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: 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: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 right-tailed left-tailed
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 claim that the proportion of people who own cats is smaller than 20% at the 0.10 significance level.The null and alternative hypothesis would be: 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 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:μ≤0.2H0:μ≤0.2H1:μ>0.2H1:μ>0.2 The test is: right-tailed two-tailed left-tailed Based on a sample of 100 people, 14% 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 men who own cats is smaller than 70% at the .05 significance level.The null and alternative hypothesis would be: H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠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: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 The test is: two-tailed right-tailed left-tailed Based on a sample of 20 people, 68% 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 claim that the proportion of people who own cats is smaller than 20% at the 0.10 significance level.The null and alternative hypothesis would be: 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 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 The test is: left-tailed right-tailed two-tailed Correct Based on a sample of 600 people, 11% 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 people who own cats is larger than 20% at the 0.10 significance level.The null and alternative hypothesis would be: 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 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 700 people, 26% 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 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 40% at the 0.05 significance level.The null and alternative hypothesis would be: 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 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:μ=0.4H0:μ=0.4H1:μ≠0.4H1:μ≠0.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 700 people, 44% 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