Concept explainers
For Exercises 5 through 20, perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
11. Automobiles Purchased An automobile owner found that 20 years ago, 76% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much less than 76% today. He selected a random sample of 56 Americans and found that 38 said that they would prefer an American automobile. Can it be concluded that the percentage today is less than 76%? At α = 0.01, is he correct?
Source: Opinion Research Corporation.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Elementary Statistics: A Step By Step Approach
- You are given the following hypotheses H 0 :p=0.3 H A :p not equal 0.3 We know that the sample size 90. For what sample proportion would the pvalue be equal to 0.1? Assume that all conditions necessary for Inference are satisfied.arrow_forwardA dental assistant is interested in the proportion of patients that need a root canal. Let the proportion of patients that need a root canal be p. If the dental assistant wanted to know if the proportion of patients that need a root canal is more than 20%, what are the null and alternative hypotheses? Select the correct answer below: H0: p=0.20; Ha: p<0.20 H0: p>0.20; Ha: p=0.20 H0: p=0.20; Ha: p>0.20 H0: μ=0.20; Ha: μ>0.20arrow_forwardYou are working for the South Tahoe Tourist Bureau and are interested in determining if there is a relationship between the casino people frequent and the type of gambling that they do at the casino Table Games Slots Sports Harrah’s 50 60 12 Hard Rock 18 22 6 MontBleu 33 29 20 Harvey’s 41 39 20 a. State the null and alternative hypotheses. b. State which hypothesis test should be used. Calculate the p-Value and state the command you entered in the calculator. c. State the conclusion in the context of the problem.arrow_forward
- The academic planner of a university thinks that less than 35% of the entire student body attends summer school. The correct set of hypotheses to verify his belief is _____.arrow_forwardYou are given the following hypotheses: H0: p = 0.3HA: p ≠ 0.3 We know that the sample size is 90. For what sample proportion would the p-value be equal to 0.1? Assume that all conditions necessary for inference are satisfied.arrow_forwardIf the proportion of the population in City A that is over 65 years old is p1 and the proportion of the population in City B that is over 65 years old is p2, what is the null hypothesis for a test to determine if the proportion of the population that is over 65 years old is greater in City A? Select the correct answer below: H0: p1−p2=0 H0: p1−p2>0 H0: p1−p2<0 H0: p1−p2≠0arrow_forward
- Use the five steps in the hypothesis testing procedure for each answer. 1 ) A national publishing house claims that 45% of all weekly magazine readers in South Africa read their publication. Test this claim at the 5% significance level, if a survey found that 205 out of a random sample of 500 magazine readers said that they read the relevant publication.arrow_forwardThe P-value for a hypothesis test is P = 0.034. Do you reject or fail to reject H 0 when the level of significance is α = 0.01?arrow_forwardIf an original claim for some aspect of a population is u=3.00, the test statistics is t= +2.05 and the critical values are CV= -1.90, +1.90, would you reject or fail to reject the null hypothesis? (Pick one and justify your answer)arrow_forward
- 1.Respond to the following questions in accordance with characteristics of hypothesis testing. a.If you want to see if the average gestational length among African American women is different from the national average of 39 weeks, how would you set up the null and two-sided alternative hypotheses? b.If you want to see if the average gestational length among African American women is less than the national average of 39 weeks, how would you set up the null and one-sided alternative hypotheses? c.In other words, what is a P-value? d.If α is 0.10 and you find a P-value of 0.08 in your hypothesis test, what would you conclude? e.How do you calculate the standard error of ?̅?arrow_forwardThe level of significance for a hypothesis is 0.01. If you compute a p-value of 0.0157 what decision should you make?arrow_forwardThe proportion of mango trees on an island that produce only dwarf fruit is p1. The proportion of mango trees on a different island that produce only dwarf fruit is p2. What is the null hypothesis for a test to determine if the proportions are different between the two islands? Select the correct answer below: H0: p1−p2≠0 H0: p1−p2=0 H0: p1−p2>0 H0: p1−p2<0arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman