Test the claim that the proportion of men who own cats is significantly different than 50% at the 0.02 significance level. The null and alternative hypothesis would be: �0:�=0.5 �1:�≠0.5 �0:�≥0.5 �1:�<0.5 �0:�≤0.5 �1:�>0.5 �0:�≤0.5 �1:�>0.5 �0:�=0.5 �1:�≠0.5 �0:�≥0.5 �1:�<0.5 The test is: two-tailed right-tailed left-tailed Based on a sample of 200 people, 49% 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 proportion of men who own cats is significantly different than 50% at the 0.02 significance level. The null and alternative hypothesis would be: �0:�=0.5 �1:�≠0.5 �0:�≥0.5 �1:�<0.5 �0:�≤0.5 �1:�>0.5 �0:�≤0.5 �1:�>0.5 �0:�=0.5 �1:�≠0.5 �0:�≥0.5 �1:�<0.5 The test is: two-tailed right-tailed left-tailed Based on a sample of 200 people, 49% 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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The mayor of a town believes that 32% of the residents favor annexation of a new bridge. A community group believes this is inaccurate and decides to perform a hypothesis test to dispute the mayor's claim. After information is gathered from 160 voters and a hypothesis test is completed, the group fails to reject the null hypothesis at the 0.01 level. What is the conclusion regarding the mayor's claim?
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
A previous study claims that 40% of people own a cat. A researcher believes that proportion has decreased. The researcher takes a random sample of 140 people and finds that 49 of them own a cat. Using a significance level of 0.05, test the claim using a one-proportion hypothesis test.The null and alternative hypothesis would be:The test statisitc is: The p-value is:State the conclusion:
Test the claim that the proportion of people who own cats is larger than 10% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:p≥0.1H0:p≥0.1H1:p<0.1H1:p<0.1 H0:μ≥0.1H0:μ≥0.1H1:μ<0.1H1:μ<0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 500 people, 19% 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
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM =    t (test statistic)= Decision:
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 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 people who own cats is smaller than 10% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:p≥0.1H0:p≥0.1H1:p<0.1H1:p<0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 H0:μ≥0.1H0:μ≥0.1H1:μ<0.1H1:μ<0.1 H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 8% owned catsThe 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 larger than 70% at the 0.10 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: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: two-tailed left-tailed right-tailed Based on a sample of 200 people, 74% 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 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
In a previous poll, 29 % of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 303 of 1113 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eeat dinner together seven nights a week has decreased? Use the a 0.01 significance level. Because npo(1-PO) 10 and thee sample size is greater than 5% of the population size, and the sample can be reasonably assumed to be random the requirements for testing the hypothesis are not satisfied (Round to one decimal place as needed.) What are the null and alternative hypotheses? 29 versus H 29 Ho H (Type integers or decimals. Do not round.) Find the test statistic, zn- zo (Round to two decimal places as needed.) Find the P-value. P-value (Round to three decimal places as needed.) Is there sufficient…