For Exercises 7 through 31, perform the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
30. Thanksgiving Travel According to the American Automobile Association, 31 million Americans travel over the Thanksgiving holiday. To determine whether to stay open or not, a national restaurant chain surveyed 125 customers at each of four locations to see if they would be traveling over the holiday. The results are shown here. At α = 0.10, test the claim that the proportions of Americans who will travel over the Thanksgiving holiday are equal. Use the P-value method.
Source: Michael D. Shook and Robert L. Shook, The Book of Odds.
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Elementary Statistics: A Step By Step Approach
- The following table represents gas well completions during 1986 in North and South America. Source: American Gas Association, 1987 Gas Facts, p. 50. D D’ Dry Not Dry N North America 14,131 31,575 45,706 N’ South America 404 2,563 2,967 14,535 34,138 48,673 P (D or N)=? P(D’ or N’)=? P(D or N’)=? P(D’ or N)=?arrow_forwardState the null and alternative hypotheses to be used in testing the following claims also explain type of test.(a) At most, 20% of next year’s wheat crop will be exported to the Soviet Union.(b) On the average, American homemakers drink 3 cups of coffee per day.(c) The proportion of college graduates in Virginia this year who majored in the social sciences is at least 0.15.(d) The average donation to the American Lung Association is no more than $10.(e) Residents in suburban Richmond commute, on the average, 15 kilometers to their place of employmentarrow_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_forward
- Of the claims shown below, determine which are valid statistical hypotheses and which are not. For those claims that are not valid, explain why. (a) p = 0.6 (b) x > 42 (c) µ < 87 1 (d) σ 2 6= 36 (e) pˆ1 = ˆp2 (f) µ1 6= µ2 (g) x < y (h) σ 2 1 σ 2 2 > 4arrow_forwardAlthough consumers often want to touch products before purchasing them, they generally prefer that others have not touched products they would like to buy. Can another person touching a product create a positive reaction? Subjects were given instructions to contact a sales associate at a university bookstore who would provide them with a shirt to try on. When meeting the sales associate, subjects were told that there was only one shirt left and it was being tried on by another “customer.” The other customer trying on the shirt was a confederate of the experimenter and was either an attractive, well-dressed professional female model or an average-looking female college student wearing jeans and a tee shirt. Subjects, who were either males or females, saw the confederate leaving the dressing room, where the shirt was left for them to try on. There was also a control group of subjects who were handed the shirt directly off the rack by the sales associate. Thus, there were five treatments:…arrow_forwardConsider the corresponding contingency table in a sample of patients from a hospital. There is the following table where the risk of heart attack is considered with respect to taking aspirin: What percentage of patients who have suffered a fatal heart attack have taken aspirin?arrow_forward
- A student does a survey to see if the average GPAs of male and female undergraduates at her university are different.a) What kind of hypotheisis test should she plan to use to answer her question? Which hypotheses do we want to test?arrow_forwardThe 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_forwardBrown wants to conduct an assessment of where employees live and how employees work. Brown wanted to know if where you lived was related to how you worked. What hypothesis tests can be used in this case?arrow_forward
- State the alternative hypotheses for the following claim: For Division I schools, less than 25% of them have a bulldog as their mascot.arrow_forwardConsider the corresponding contingency table in a sample of patients from a hospital. There is the following table where the risk of heart attack is considered with respect to taking aspirin: What percentage of patients are at risk for a heart attack and take aspirin?arrow_forwardA sports enthusiast would like to determine if the average number of penalty minutes per game for teams in the National Hockey League is greater than 12 minutes. A sample of 30 games was taken, and the number of penalty minutes in each game was recorded. Select the appropriate hypotheses to be tested. Ho:μ=12Ho:μ=12Ha:μ>12Ha:μ>12 Ho:μ=12Ho:μ=12Ha:μ≠12Ha:μ≠12 Ho:¯y=12Ho:y¯=12Ha:¯y≠12Ha:y¯≠12 Ho:¯y=12Ho:y¯=12Ha:¯y>12arrow_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