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- 1. For each, state the null and alternative hypothesis and state which is the claim. Use correct use of notation and parameters. a. I claim that the mean age of a calculus student at SBCC is 24 years of age. b. According to Edison National Election Poll, over 50% of female voters voted for Hilary Clinton during the last election.A hospital claims that the proportion of full-term babies born in the hospital who weigh less than seven pounds is no more than 44%. Suppose that we want to carry out a hypothesis test for this claim, suspecting otherwise. State the null hypothesis Ho and the alternative hypothesis H, that we would use for this test. Ho: 0 H: ] Aa OSOFor the following conjecture, state the null and alternative hypotheses. The average resting pulse rate of male marathon runners has decreased from 70 beats per minute. The null hypothesis is : H0 ____ The alternative hypothesis is : H1 ____
- 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 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 = 0.1For the following conjecture, state the null and alternative hypotheses. The average age of first-year medical students is at least 27 years. The null hypothesis is Ho: OFor 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 screenshotConsider 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=0.45For 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____.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