Testing Hypotheses. In Exercises 9-24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or
22. Heights of Supermodels Listed below are the heights (inches) for the simple random sample of supermodels Lima, Bundchen, Amborsio, Ebanks, Iman, rubik, Kurkova, Kerr, Kroes, and Swanepoel. Use a 0.01 significance level to test the claim that supermodels have heights with a
70 71 69.25 68.5 69 70 71 70 70 69.5
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Elementary Statistics
- TEST THE SIGNIFICANCE OF THE CORELATION COEFFICENT AT 0.05 LEVEL OF SIGNIFICANCE. (FOLLOW THE 5-STEP PROCEDURE IN HYPOTHESIS TESTING)arrow_forwardPerform a statistical test for the given problem. Follow the steps in hypothesis testing when you present your results. To find out whether a new serum would arrest leukemia, 16 patients, who had all reached an advanced stage of the disease, were selected. Eight patients received the treatment and eight did not. The survival was taken from the time the experiment was conducted. Without Treatment: 1.8, 2.9, 3.3, 3.1, 2.4, 1.5, 1.5, 1.6 With Treatment: 3.9, 4.8, 4.7, 4.9, 4.2, 4.5, 5.5, 4.2arrow_forwardCalculate the test statistic Calculate the P-value What is the conclusion for this hypothesis test?arrow_forward
- ) A Health Authority believes that the rate of smoking among adults in its region is above the national average of 36%. It commissions a random survey of 1,200 adults and finds that the number of smokers in this sample is 395. They wish to test their belief. i. Clearly state an appropriate null and alternative hypothesis. ii. Perform the hypothesis test at the significance level α = .05. Find also the p−value of the test. iii. State your conclusions.arrow_forwardCalculate the test statistic Calculate the p value What is the conclusion for this hypothesis test?arrow_forwardThe mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 48% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 51%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 1 of 6 : State the null and alternative hypotheses.arrow_forward
- Perform a appropriate tests of hypotheses involving the population mean μ and population proportion to make inferences in real-life problems in different disciplines.Sstatistical report where each step of the hypothesis testing, results, and conclusion are present.arrow_forwardDiscuss the characteristics of hypothesis. Explain type I and type II errors in the context of testing of hypothesisarrow_forwardTest the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ≠6000; α=0.08; σ=391. Sample statistics: x=5900, n=49 Determine the outcome and conclusion of the test. Choose from the following. A. Reject H0. At the 8% significance level, there is enough evidence to support the claim. B. Fail to reject H0. At the 8% significance level, there is not enough evidence to support the claim. C. Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. D. Reject H0. At the 8% significance level, there is enough evidence to reject the claim.arrow_forward
- A certain medication is supposed to contain a dosage of 250 mgper pill. A lab is quality testing the drug to determine if it contains the correctdosage, on average.A sample of 50 pills has average dosage 232 mg with standarddeviation 25 mg. At a 2% level of significance, perform the hypothesis test.arrow_forwardDraw the conclusion by using the five-step hypothesis testing procedure. Show your solution either using the critical value method or the p- value method. A nationwide poll claims that the country’s president has less than a 64% approval rating.In a random sample of 120 people, 69 people gave the president a positive approval rating.Test the claim at a 0.05 level of significance.arrow_forwardThe mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 48% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 51%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 4 of 6 : Determine the decision rule for rejecting the null hypothesis, H0H0.arrow_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