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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 X O B. O A. 10 20 30 40 10 20 30 40 M M X OD. F O c. X F 10 20 30 40 10 20 30 40 Does there appear to be a difference in the income tax rates between genders? O A. Yes because the income tax rate for females appears to have a higher median than the income tax rate for males. O B. No because the income tax rate is about the same for males and females. O C. Yes because the income tax rate for males appears to have a higher median than the income tax rate for females. O D. No but the maximum income tax rate for males is higher than the maximum income tax rate for females.- X S i Survey Results ME Gender Tax Rate Gender Tax Rate Female 10 Male 15 Female 10 Male 20 Female 4 Male 9 Female 21 Male 10 Female 20 Male 17 Female 15 Male 2 Female 9 Male Female 15 Male 15 Female 3 Male 3 Female 5 Male 9 Female 25 Male 15 Female 10 Male 5 Female 0 Male 15 Female 19 Male 33 Female 10 Male 10 Female 0 Male 15 e Female 8 Male 2 Female 20 Male Female 14 Male 4 Female 12 Male 7 Female 20 Male 15 Female 15 Male 6 Female 9 Male 10 na Female 15 Male 5 Female 5 Male 10 Print Done\fb) Explain why a hypothesis test may be used to test whether the mean tax rates for the two genders differ. Select all that apply. E] A. Each sample size is large. E] B. Each sample has the same sample size. E] C. Each sample is a simple random sample. C] D. Each sample size is small relative to the size of its population. E] E. Each sample is obtained independently of the other. c) Test whether the mean tax rate for females differs from that of males at the a = 0.01 level of signicance. Determine the null and alternative hypotheses for this test. Let PM represent the mean income tax rate for males and let PF represent the mean income tax rate for females. Ho: V V VversusH1: V V V Find to, the test statistic for this hypothesis test. t0 = (Round to two decimal places as needed.) Determine the P-value for this test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence at the level of significance to conclude that the mean income tax rate for males is different from the mean income tax rate for females. O B. Do not reject Ho. There is sufficient evidence at the level of significance to conclude that the mean income tax rate for males is different from the mean income tax rate for females. O C. Do not reject Ho. There is not sufficient evidence at the level of significance to conclude that the mean income tax rate for males is different from the mean income tax rate for females. O D. Reject Ho. There is not sufficient evidence at the level of significance to conclude that the mean income tax rate for males is different from the mean income tax rate for females