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Do women feel differently from men when it comes to tax rates? One question on a survey of randomly selected adults asked, "What percent of income do you believe individuals should pay in income tax?" Complete parts a) through c). Click the icon to view the survey results. a) Draw side-by-side boxplots of tax rates by gender. Choose the correct graph below. M M O OE F 10 20 10 20 30 40 30 40 OC OD. 10 20 30 40 Does there appear to be a difference in the income tax rates between genders? -X Survey Results O A. Yes because the income tax rate for males appears to have a higher median than the income tax rate for females. O B. No but the maximum income tax rate for males is higher than the maximum income tax rate for females. Gender Tax Rate Gender Tax Rate O C. No because the income tax rate is about the same for males and female Female 10 Male 15 D. Yes because the income tax rate for females appears to have a higher median than the income tax rate for males. Female Male 20 Female Male 9 b) Explain why a hypothesis test may be used to test whether the mean tax rates for the two genders differ. Female Male 10 Female Male 17 Male Select all that apply Female 2 Female Male LY A. Each sample size is large. Female 15 Female Male Female Male B. Each sample has the same sample size Female Male LY C. Each sample is a simple random sample Female Female Male LY D. Each sample size is small relative to the size of its population. Female Male 33 LY E. Each sample is obtained independently of the other. Female Male 10 Female Male Female Male c) Test whether the mean tax rate for females differs from that of males at the a = 0.01 level of significance. Female Male Determine the null and alternative hypotheses for this test. Let UM represent the mean income tax rate for males and let up represent the mean income tax rate for females. Female Male Female Male Female Male HO: HM = HF Versus H1: HM # HF Female Male Female Male Find to, the test statistic for this hypothesis test Female Male Female Male to =(Round to two decimal places as needed.) Female Male Female Male Female Male Female Male Female Male Print Done Get More Help - Clear All Check Answer Help Me Solve This View an Example2 Two researchers eonducted a study in which two groups of students were asked to answer 42 trivia questions from a board game, The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 23.9 with a standard deviation of 4.7, while the 200 students in group 2 had a mean score of 19.1 with a standard deviation of 3.1. Complete parts (a) and (b) below. (:1) Determine the 90% condence interval for the ditterence in scores. 111 - p2. Interpret the intervaL The lower bound is The upper bound is . (Round to three decimal places as needed.) Help Me Solve This View an Example Get More Help A Clear All 3 A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of his study. Complete parts a) through e) below. Click the icon to view the sample data. a) What is the response variable in this study? What is the explanatory variable? A. The response variable is the time to graduate. The explanatory variable is the use of community college or not. O B. The response variable is the use of community college or not. The explanatory variable is the time to graduate. O C. The response variable is the number of students. The explanatory variable is the time to graduate O D. The response variable is the time to graduate. The explanatory variable is the number of students b) Explain why this study can be analyzed using inference of two sample means. Determine what qualifications are met to perform the hypothesis test about the difference between two means. Select all that apply. A. The sample sizes are large (both greater than or equal to 30). B. The samples can be reasonably assumed to be random. [Y C. The sample sizes are not more than 5% of the population. D. The population is given to be normally distributed. Y E. The samples are independent. c) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a = 0.10 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: Hcommunity college Hno transfer. H1: Hcommunity college Hno transfer O B. Ho: Hcommunity college Hno transfer C. Ho: "community college # Hno transfer. H1: Hcommunity college > Hno transfer O D. Ho: Hcommunity college = Hno transfer, H1: Hcommunity college Hno transfer. H1: "community college H2 OB. HO:H1 # H2 Hy:H1 = H 2 O C. HO:Hy # H2 Hy: H1 > H2 D. HO:H1 = H2 Hy: My # H2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.) Help Me Solve This View an Example Get More Help - Clear All Check AnswerAssume that both populations are normally distributed Sample 1 Sample 2 a) Test whether 1 #H2 at the a = 0.05 level of significance for the given sample data. 20 20 b) Construct a 95% confidence interval about 1 - H2- X 18.8 23.1 4 8 51 Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. Student t-Distribution Table O A. HO: H1 = H2. H1: H1 > H2 OB. HO: My # H2, Hy: My = H2 O C. HO: H1 = H2. H1: Hy