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- Consider the following hypotheses. Họ: ps0.66 HẠi p>0.66 A random sample of 500 is taken. Using each set of information given in parts a through c, compute the power of the test. a. a = 0.01, true p = 0.69 b. a = 0.025, true p= 0.68 c. a = 0.05, true p= 0.67The following are the average grade of a sample of 20 Senior High School students for the first semester. Test the clpim that the average grade of the students is LESS THAN 90. 91 88 93 95 95 85 89 93 89 91 91 92 89 89 84 87 88 88 89 93 Which is the null hypothesis? Oa. The average grade of the students is equal to 90. Ob. The average grade of the students is greater than 90. Oc The average grade of the students is not equal to 90. Od. The average grade of the students is less than 90. Which is the alternative hypothesis? O a The average grade of the students is less than 90. Ob. The average grade of the students is not equal to 90. Oc The average grade of the students is greater than 90. Od The average grade of the students is equal to 90.Suppose 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 hypothesis test: Ho : p 0.67 The p-value is equal to 0.012. Use a 0.05. The conclusion is: Select one: a. We reject Ho and we conclude that p > 0.67. O b. We accept H, and we conclude that p > 0.67. c. We reject Ho and we conclude that p< 0.67. O d. We accept Ho and we conclude thatp<0.67.For the following conjecture, state the null and alternative hypothesis. Less than 21% of adults eat fast food every day. The null hypothesis is Ho: OFor the following conjecture, state the null and alternative hypothesis. More than 42% of runaways are female. The null hypothesis is Ho : Oneed help on these, everything you need is in the screenshotThe mortality rate from melanoma (skin cancer) during the 1950s was recorded for each of the 48 contiguous United States, plus Washington, D.C. (as reported by Fisher and Van Belle (1993) and found at http://www.stat.psu.edu/~lsimon/stat501wc/sp05/data/ The following is the scatterplot of the data: Mortality per 10 million 225 200 175 150 125 100- 30 35 Scatter plot 40 Latitude r=-.83 45 50 The plot shows a negative linear relationship between the latitude of the state and melanoma mortality rate. Which of the following is an appropriate interpretation of the negative relationship shown in the scatterplot above? A. O The more southern the state, the more people that died of melanoma. B. O The more southern the state, the higher the melanoma death rate. C. The more northern the state, the higher the melanoma death rate.Consider the following hypotheses. Ho: p ≤0.44 HA: P >0.44 A random sample of 400 is taken. Using each set of information given in parts a through c, compute the power of the test. a. α = 0.01, true p = 0.47 b. x=0.025, true p = 0.46 a. The power of the test is (Round to four decimal places as needed.) *** c. α=0.05, true p=0.45The average American consumes 85 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 82.1 liters of alcohol consumed per year with a standard deviation of 23 liters. What can be concluded at the the a = 0.10 level of significance? You may assume the data are normally distributed.For 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____.SEE MORE QUESTIONSRecommended 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