Do women feel differently from men when it comes to tax rates? One question on a survey of randomly selected aduts 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 corect graph below. M OA 16 40 OD. 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. OB. 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. OD. 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 MA Each sample size is smal relative to the size of ts population. Ma. Each sample is a simple random sample. Each sample size is large. Each sample is obtained independently of the other DE Each sample has the same sample size. e) Test whether the mean tax rate for females differs from that of males at the a0.01 level of significance. Delermine the nul and alternative hypotheses for this test. Let represent the mean income tax rate for males and let y represent the mean income tax rate for females. My: u - w versus H, M Find to. the test statistic for this hypothesis test. 6- 0.87 (Round to two decimal places as needed.)

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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
Female
10
Male
1
Male
15
2
Female
15
Female
3
Male
Female
Male
Female
24
Male
15
Female
10
Male
Female
Male
15
Female
22
Male
35
Female
10
Male
10
Female
Male
15
Female
7
Male
2
Female
20
Male
Female
14
Male
4
Female
13
Male
Female
20
Male
15
Female
15
Male
5
Female
9
Male
10
Female
15
Male
Female
5
Male
10
Female
13
Male
24
Female
15
Male
15
Female
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 Female 10 Male 1 Male 15 2 Female 15 Female 3 Male Female Male Female 24 Male 15 Female 10 Male Female Male 15 Female 22 Male 35 Female 10 Male 10 Female Male 15 Female 7 Male 2 Female 20 Male Female 14 Male 4 Female 13 Male Female 20 Male 15 Female 15 Male 5 Female 9 Male 10 Female 15 Male Female 5 Male 10 Female 13 Male 24 Female 15 Male 15 Female Male 15 Female 18 Male 8 Female 23 Male 10
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).
E 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
OA.
OB.
10
20
30
10
40
M
OD.
10
20
30
40
10
20
30
40
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.
OB. 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.
OD. 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 smal relative to the size of its population.
B. Each sample is a simple random sample.
'c. Each sample size is large.
D. Each sample is obtained independently of the other.
DE 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 alternative hypotheses for this test. Let Pa represent the mean income tax rate for males and let pe represent the mean income tax rate for females.
Hg: Hu - HF versus H,: HM * HF
Find to. the test statistic for this hypothesis test.
to-0.87
(Round to two decimal places as needed.)
Transcribed Image Text: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). E 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 OA. OB. 10 20 30 10 40 M OD. 10 20 30 40 10 20 30 40 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. OB. 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. OD. 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 smal relative to the size of its population. B. Each sample is a simple random sample. 'c. Each sample size is large. D. Each sample is obtained independently of the other. DE 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 alternative hypotheses for this test. Let Pa represent the mean income tax rate for males and let pe represent the mean income tax rate for females. Hg: Hu - HF versus H,: HM * HF Find to. the test statistic for this hypothesis test. to-0.87 (Round to two decimal places as needed.)
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