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- A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At a= 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H, and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage households in the country' that own a pet is not %. O B. Less than % of households in the country own a pet. O C. More than % of households in the country own a pet. O D. % of hoúseholds in the country own a pet.In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 331 trials, the touch therapists were correct 159 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or decial. Do not round)In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 312 trials, the touch therapists were correct 151 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.The manager of a local record store is interested in the effectiveness of an advertisingcampaign on sales. They randomly select 10 popular CDs (all in the Billboard top 100),and place an ad in the local school newspaper saying that the store has these (and more)in stock. They measure the sales of these 10 CDs for 1 week prior to the ad, and then for1 week after the ad. The number of CDs sold each week is presented below. Was there anincrease in the number of CDs sold after the ad? Conduct a 6-step hypothesis test.CD Numbersold beforeadNumbersold after adA 25 32B 18 24C 3 7D 42 40E 16 19F 20 25G 23 23H 32 35I 60 65J 40 43 Please solve using 6 steps hypothesis and solve in excelThe values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A 6.3 6.6 6.7 6.8 7.1 7.3 7.5 7.8 7.8 7.8 Bank B 4.2 5.5 5.9 6.3 6.7 7.7 7.7 8.5 9.3 10.0 Click the icon to view the table of Chi-Square critical values. Construct a 90% confidence interval for the population standard deviation o at Bank A. 7:6A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. (enter answer with no commas, i.e. as 1000 not 1,000.) Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %In a science fair project, Emily conducted an experiment in which she tested professional touch Ktherapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 357 trials, the touch therapists were correct 169 times. Complete parts (a) through (d). S View an example Get more help. 4- & 87 U 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? 0.473 (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists. FThe values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A 6.4 6.6 6.7 6.8 7.1 7.3 7.6 7.9 7.9 7.9 Bank B 4.2 5.4 5.8 6.2 6.7 7.6 7.6 8.5 9.2 10.0 Click the icon to view the table of Chi-Square critical values. Construct a 99% confidence interval for the population standard deviation o at Bank A. 0.36 min21 subpart aRecommended 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. 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