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6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. The test statistic is: * (please round to two decimal places) The p-value associated with this hypothesis test is: * (please round to four decimal places) What is the conclusion of the hypothesis test? Since pra we reject the null hypothesis and accept the alternative Since p 2 a we reject the null hypothesis and accept the alternative O Since p 2 a we accept the null hypothesis Since p > a we do not have enough evidence to reject the null hypothesis O Since pea we fail to reject the null hypothesis6.18 Is college worth it? Part II: Exercise 6.16 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot afford it. (a) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context. lower bound: *(please round to four decimal places) upper bound: *(please round to four decimal places) Interpret the confidence interval in context: (b) Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. How large of a survey would you recommend? A survey should include at least *people.6.34 Prenatal vitamins and Autism: Researchers studying the link between prenatal vitamin use and autism sun-eyed the mothers of a random sample of children aged 24 60 months with autism and conducted another separate random sample for children with typical development. The table below shows the number of mothers in each group who did and did not use prenatal vitamins dining the three months before pregnancy (periconoeptional period). (Schmidt, 2011) ' :."*-. 'h'lJ-JMIM'I rs orma'Iaiu-.-_.._- _..- "43.1: more '_''-______ (b) Complete the hypothesis test and state an appropriate conclusion. What is the value of the test statistic for this test? |:|I (Please round :0 Mo decimal pieces) What is the pvalue associated Twith this test? :8 {Please round tofonr decimalptacerj The result of the hypothesis is: 6.36 Diabetes and unemployment: A 2012 Gallup poll surveyed Americans about their employment status and whether or not they have diabetes. The survey results indicate that 1.5% of the 47,774 employed (full or part time) and 2.5% of the 5,855 unemployed 18-29 year olds have diabetes. (a) Create a two-way table presenting the results of this study. Diabetes No Diabetes Employed Unemployed6.42 Evolution versus Creationism: A Gallup Poll released in December 2010 asked 1019 adults living in the Continental U_S_ about their belief in tile origin of humans. These results, along with results from a more comprehensive poll from 2001 (that we will assume to be exactly aocurate), are summarized in the table below: Year: 2010 1Fear: 2001 Humans Evolved with God guiding (1) Humans evolved but God had no part in the process (2) God created humans in present form (3) Other I' No opinion (4) V (b.-"c) Calculate the actual number of respondents in 2010I that fall in each response category as well as the expected number, assuming that the population follows the 2001 distribution. otsam media the nearest whole number} Observed 2010 Expected 2010 Response Humans Evolved with God guiding (l) Humans evolved but God had no part in the process (2) God created humans in present form (3) Other a\" No opinion (4) (d) Conduct a chi square test and state your conclusion The value of the test statistic is: :8 (please round to two decimalplaces} The degrees of 'eedorn for this test are: :l: The p~value for this test is: :I: [please round :ofonr decimalpiaces} State the conclusion of the test in the context of the