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- Consider the following hypotheses: Hg: H 2 160 НА: и < 160 The population is normally distributed. A sample produces the following observations: 152 138 151 144 151 142 Conduct the test at the 1% level of significance. (You may find it useful to reference the appropriate table: z table or table) a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) Test statisticSuppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day. To test this claim, a random sample of 50 adults was selected, and their average coffee consumption was found to be 1.85 cups of daily coffee consumption per day is 0.5 cups. Using a = 0.10, complete parts a and b below. a. Is the coffee industry's claim supported by this sample? Determine the null and alternative hypotheses. Họ: H 1.7 H1:µ + 1.7 The z-test statistic is 2.12. (Round to two decimal places as needed.) The critical z-score(s) is(are).- (Round to two decimal places as needed. Use a comma to separate answers as needed.)Consider the following hypotheses: He: p≥ 0.35 HA: P<0.35 Which of the following sample information enables us to reject the null hypothesis at a = 0.05 and at a = 0.10? (You may find it useful to reference the appropriate table: z table or ttable) (Round all intermediate calculations to at least 4 decimal places.) a. x = 30; n = 130 b. x = 85; n = 327 c. p= 0.33; n = 64 d. p = 0.33; n = 448 a = 0.05 a = 0.1
- 156% of studentss entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 183 of the 286 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = -0.10 a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: 7 v ||Select an answer V (please enter a decimal) H [?v||Select an answer v (Please enter a decimal) c. The test statistic 7v (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer vthe null hypothesis. g. Thus, the final conclusion is that ,Which of the following tables can be used as a more exact substitute for the empirical rule? t table chi squared table O F table O z tableNormally only about 19% of people who try to quit smoking succeed, but sellers of a motivational tape claim that listening to their recorded messages can help people quit (i.e., more than 19% of the people who use the tapes will successfully quit). Let p represents the percentage of people who have listened to the recorded messages and have successfully quit. Match the appropriate null and alternative hypotheses, based on the sellers' claim. H,: p = 0.19 p> 0.19 p2 0.19 ps 0.19 p 0.19 p2 0.19 ps 0.19 p < 0.19 Op- 0.19 Do you consider a Type I or Type Il error a more serious mistake here? Why? Your answer should make it clear what Type I and Il errors are in this context.
- Suppose you want to test the claim that 4For the following hypothesis test: HO: m ≤ 14 HA: m >14 a: 0.01 with n = 38, o = 9, and x = 16, which of the following is TRUE? Select one: a. reject null hypothesis and conclude that the mean is equal to or less than 14 O b. fail to reject null hypothesis and conclude that the mean is equal to or less than 14 c. reject null hypothesis and conclude that the mean is greater than 14 d. fail to reject null hypothesis and conclude that the is greater than 14For the following conjecture, state the null and alternative hypotheses. The average resting pulse rate of male marathon runners is greater than 70 beats per minute. The null hypothesis is: H0____.The alternative hypothesis is: H1____.A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 O59% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 155 of the 276 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01?Recommended textbooks for youMATLAB: 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 LearningElementary 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. FreemanMATLAB: 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 LearningElementary 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