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). B Click the icon to view the survey results. a) Draw side-by-side boxplots of tax rates by gender. Choose the correct graph below. Survey Results Q M M X Q OA. OB. F F 0 10 20 30 40 0 10 20 30 40 a a M M . OD F F 0 10 20 30 0 10 20 30 40 Does there appear to be a difference in the income tax rates between genders? O A. No but the maximum income tax rate for males is higher than the maximum income tax rate for females. OB. 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. OD. Yes because the income tax rate for females appears to have a higher median than the income tax rate for males. Gender Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Tax Rate 10 10 6 19 21 15 10 15 3 5 23 10 0 22 10 0 8 20 14 13 20 15 9 17 5 16 15 5 16 25 Gender Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Tax Rate 15 20 8 10 17 2 1 15 3 9 15 5 16 35 10 15 2 0 4 5 15 6 10 6 10 24 15 17 8 10 b) Explain why a hypothesis test may be used to test whether the mean tax rates for the two genders differ. Select all that apply. A. Each sample has the same sample size. B. Each sample size is large. C. Each sample is obtained independently of the other. D. Each sample is a simple random sample. E. Each sample size is small relative to the size of its population. c) Test whether the mean tax rate for females differs from that of males at the a = 0.01 level of significance. Print Done Determine the null and alternative hypotheses for this test. Let Hm represent the mean income tax rate for males and let HF represent the mean income tax rate for females. Ho: versus H: Find to the test statistic for this hypothesis test. to=(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. 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. OB. Reject H. 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. 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. OD. 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. Click to select your answer(s). ? 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). B Click the icon to view the survey results. a) Draw side-by-side boxplots of tax rates by gender. Choose the correct graph below. Survey Results Q M M X Q OA. OB. F F 0 10 20 30 40 0 10 20 30 40 a a M M . OD F F 0 10 20 30 0 10 20 30 40 Does there appear to be a difference in the income tax rates between genders? O A. No but the maximum income tax rate for males is higher than the maximum income tax rate for females. OB. 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. OD. Yes because the income tax rate for females appears to have a higher median than the income tax rate for males. Gender Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Tax Rate 10 10 6 19 21 15 10 15 3 5 23 10 0 22 10 0 8 20 14 13 20 15 9 17 5 16 15 5 16 25 Gender Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Male Tax Rate 15 20 8 10 17 2 1 15 3 9 15 5 16 35 10 15 2 0 4 5 15 6 10 6 10 24 15 17 8 10 b) Explain why a hypothesis test may be used to test whether the mean tax rates for the two genders differ. Select all that apply. A. Each sample has the same sample size. B. Each sample size is large. C. Each sample is obtained independently of the other. D. Each sample is a simple random sample. E. Each sample size is small relative to the size of its population. c) Test whether the mean tax rate for females differs from that of males at the a = 0.01 level of significance. Print Done Determine the null and alternative hypotheses for this test. Let Hm represent the mean income tax rate for males and let HF represent the mean income tax rate for females. Ho: versus H: Find to the test statistic for this hypothesis test. to=(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. 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. OB. Reject H. 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. 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. OD. 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. Click to select your answer(s)