1-Voters in a particular city who identify themselves with one or the other of twopolitical parties were randomly selected and asked if they favor a proposal to allow citizens with properlicense to carry a concealed handgun in city parks. The results are:Party ASample size150Party B200140Number in favor90a) Test, at the a= 0.1 level of significance, the hypothesis that the proportion of all members of Party Awho favor the proposal is different from the proportion of all members of Party B who do.

Solution-: Given: n1=150,n2=200,x1=90,x2=140,α=0.1 We want to test at α=0.1 , the hypothesis that…

Answered: Voters in a particular city who…

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

See similar textbooks

Similar questions

In a random sample of 257 potential voters registered in the state of Vermont, 78 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 265 potential voters registered in South Dakota, 96 indicated that they planned to vote in the next general election. Can we conclude, at the 0.01 level of significance, that the proportion p1 of all potential voters in Vermont who plan to vote differs from the proportion p2 of all potential voters in South Dakota who plan to vote? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. Round to three or more decimal places. c. Find the p-value. Round to three or more decimal places. d. Can we conclude that the proportion of voters in Vermont who plan to vote…
In a random sample of 215 potential voters registered in the state of Kentucky, 107 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 210 potential voters registered in South Carolina, 77 indicated that they planned to vote in the next general election. Can we conclude, at the 0.01 level of significance, that the proportion p1 of all potential voters in Kentucky who plan to vote is greater than the proportion p2 of all potential voters in South Carolina who plan to vote? Perform a one-tailed test.
A political pollster conducted a study to determine political party loyalty. To do so, he selected a randomsample of 100 registered Democrats and a random sample of 100 registered Republicans. He determinedthe proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election andthe proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. Atest of significance was conducted on the following hypotheses. H0: pD = pRHa: pD ≠ pR where pD = the proportion of Democrats who plan to vote for the Democratic candidate in the upcomingelection and pR = the proportion of Republicans who plan to vote for the Republican candidate in theupcoming election. The conditions for inference were met. This test resulted in a P-value of 0.0981. (a) Interpret this P-value in the context of this study. (b) Using a significance level of ? = 0.05, what conclusion should be made? (c) Based upon your conclusion in part (b), what type of error (Type…
An ordinance requiring that a smoke detector beinstalled in all previously constructed houses has beenin effect in a particular city for 1 year. The fire departmentis concerned that many houses remain withoutdetectors. Let p 5 the true proportion of such houseshaving detectors, and suppose that a random sample of25 homes is inspected. If the sample strongly indicatesthat fewer than 80% of all houses have a detector, thefire department will campaign for a mandatory inspectionprogram. Because of the costliness of the program,the department prefers not to call for such inspectionsunless sample evidence strongly argues for their necessity.Let X denote the number of homes with detectorsamong the 25 sampled. Consider rejecting the claim thatp $ .8 if x # 15.a. What is the probability that the claim is rejectedwhen the actual value of p is .8?b. What is the probability of not rejecting the claimwhen p 5 .7? When p 5 .6?c. How do the “error probabilities” of parts (a) and (b)change if the…
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like to do so. The firm did a similar study 10 years ago and found that 70% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. The company tests to determine at the 0.01 level whether the population proportion has changed from the previous study. Which of the following is most correct? Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has changed over the past 10 years. Do not reject the null hypothesis and conclude that there is not sufficient evidence that the pro- portion of employees who are…
A doctor claims that less than 30% of all persons exposed to a certain amount of radiation will feel any ill effects.If in a random sample only 1 of 19 persons exposed to such radiation felt any ill effects,test Ho:p=0.30 against H1:p<0.30 at the 0.05 level of significance
An ordinance requiring that a smoke detector be installed in all previously constructed houses has been in effect in a particular city for 1 year. The fire department is concerned that many houses remain without detectors. Let p = the true proportion of such houses having detectors, and suppose that a random sample of 20 homes is inspected. If the sample strongly indicates that fewer than 60% of all houses have a detector, the fire department will campaign for a mandatory inspection program. Because of the costliness of the program, the department prefers not to call for such inspections unless sample evidence strongly argues for their necessity. Let X denote the number of homes with detectors among the 20 sampled. Consider rejecting the claim that p ≥ 0.6 if x ≤ 12. (Round your answers to three decimal places.) (a) What is the probability that the claim is rejected when the actual value of p is 0.6? (b) What is the probability of not rejecting the claim when p = 0.5?…

Recommended textbooks for you

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

SEE MORE TEXTBOOKS