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c) Test whether the mean tax rate for females differs from that of males at the a=0.01 level of significance. Determine the null and altemative hypotheses for this test. Let HM represent the mean income tax rate for males and let ue represent the mean income tax rate for females. Ho: PM HF versus H,: HM * HF Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)

c) Test whether the mean tax rate for females differs from that of males at the a=0.01 level of significance. Determine the null and altemative hypotheses for this test. Let HM represent the mean income tax rate for males and let ue represent the mean income tax rate for females. Ho: PM HF versus H,: HM * HF Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Does there appear to be a difference in the income tax rates between genders? A. Yes because the income tax rate for females appears to have a higher median than the income tax rate for males. O B. Yes because the income tax rate for males appears to have a higher median than the income tax rate for females. OC. No because the income tax rate is about the same for males and females. O D. No but the maximum income tax rate for males is higher than the maximum income tax rate for females. 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 size is small relative to the size of its population. B. Each sample is a simple random sample. C. Each sample size is large. Each sample is obtained independently of the other. Each sample has the same sample size. c) Test whether the mean tax rate for females differs from that of males at the a = 0.01 level of significance. Determine the null and altemative hypotheses for this test. Let HM represent the mean income tax rate for males and let ue represent the mean income tax rate for females. Ho: HM HF versus H,: PM HF Find tg, the test statistic for this hypothesis test. (Round to two decimal places as needed.)
Transcribed Image Text:Does there appear to be a difference in the income tax rates between genders? A. Yes because the income tax rate for females appears to have a higher median than the income tax rate for males. O B. Yes because the income tax rate for males appears to have a higher median than the income tax rate for females. OC. No because the income tax rate is about the same for males and females. O D. No but the maximum income tax rate for males is higher than the maximum income tax rate for females. 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 size is small relative to the size of its population. B. Each sample is a simple random sample. C. Each sample size is large. Each sample is obtained independently of the other. Each sample has the same sample size. c) Test whether the mean tax rate for females differs from that of males at the a = 0.01 level of significance. Determine the null and altemative hypotheses for this test. Let HM represent the mean income tax rate for males and let ue represent the mean income tax rate for females. Ho: HM HF versus H,: PM HF Find tg, the test statistic for this hypothesis test. (Round to two decimal places as needed.)
Gender Tax Rate Gender Tax Rate Female 10 Male 15 Female 10 Male 20 Female 4 Male 10 Female 23 Male 10 Female 21 Male 17 Female 15 Male 2 Female Female 10 Male 1 15 Male 15 Female Male 2 Female Male 8 Female 24 Male 15 Male Male Female 10 Female 15 Female 22 Male 35 Female Male Male 10 10 Female 15 Female Female 7 Male 2 20 Male Female 14 Male 4 Female 13 Male 6 Female 20 Male 15 Female 15 Male Female Male Male 10 Female 15 5 Female 5 Male 10 Female 13 Male 24 Female Female 15 Male 15 Male 15 Female 18 Male 8 Female 23 Male 10
Transcribed Image Text:Gender Tax Rate Gender Tax Rate Female 10 Male 15 Female 10 Male 20 Female 4 Male 10 Female 23 Male 10 Female 21 Male 17 Female 15 Male 2 Female Female 10 Male 1 15 Male 15 Female Male 2 Female Male 8 Female 24 Male 15 Male Male Female 10 Female 15 Female 22 Male 35 Female Male Male 10 10 Female 15 Female Female 7 Male 2 20 Male Female 14 Male 4 Female 13 Male 6 Female 20 Male 15 Female 15 Male Female Male Male 10 Female 15 5 Female 5 Male 10 Female 13 Male 24 Female Female 15 Male 15 Male 15 Female 18 Male 8 Female 23 Male 10
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