Question

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).

Gender   Tax Rate   Gender   Tax Rate
Female   10 Male 15
Female   10   Male 20
Female   6 Male 8
Female   22 Male 10
Female   20 Male 17
Female   15 Male 2
Female   10 Male 1
Female   15 Male 15
Female   3 Male 4
Female   5 Male 9
Female   23 Male 15
Female   10 Male 5
Female   0 Male 16
Female   22 Male 34
Female   10 Male 10
Female   0 Male 15
Female   8 Male 2
Female   20 Male 0
Female   14 Male 4
Female   12 Male 7
Female   20 Male 15
Female   15 Male 5
Female   9 Male 10
Female   17 Male 5
Female   5 Male 10
Female   16 Male 22
Female   15 Male 15
Female   5 Male 17
Female   17 Male 8
Female   26 Male 10

​c) Test whether the mean tax rate for females differs from that of males at the a=0.05 level of significance.

Determine the null and alternative hypotheses for this test. Let uM represent the mean income tax rate for males and let μF

represent the mean income tax rate for females.

ANSWER: H0​:Um=Uf versus H1: um (does not equal) uf

Find t0​, 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 two decimal places as​ needed.)

Answer 1

t0= 0.98

P-value= 0.33

Female	Male
12.67	10.87	mean
6.94	7.32	std. dev.
30	30	n
	58	df
	1.800	difference (Female - Male)
	50.933	pooled variance
	7.137	pooled std. dev.
	1.843	standard error of difference
	0	hypothesized difference
	0.98	t
	0.33	p-value (two-tailed)
F-test for equality of variance
	53.64	variance: Male
	48.23	variance: Female
	1.11	F
	.7767	p-value