Question

A researcher wants to study the relationship between salary and gender. She randomly selects 318 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent?

Income Male Female

Total Below $25,000 34 23 57

$25,000-$50,000 26 70 96

$50,000-$75,000 31 22 53

Above $75,000 . 64 48 112

Total 155 163 318

Step 3 of 8 : Find the expected value for the number of women with an income of $50,000-$75,000. Round your answer to one decimal place.

Answer 1

Ho:salary and gender are not dependent

H1: salary and gender are dependent

Observed Frequencies
	Column variable				Calculations
Row variable	male	female	Total		fo-fe
below 25k	34	23	57		6.2170	-6.2170
25k-50k	26	70	96		-20.7925	20.7925
50k-75k	31	22	53		5.1667	-5.1667
above 75k	64	48	112		9.4088	-9.4088
Total	155	163	318
Expected Frequencies
	Column variable
Row variable	male	female	Total		(fo-fe)^2/fe
below 25k	27.7830	29.2170	57		1.3912	1.3229
25k-50k	46.7925	49.2075	96		9.2392	8.7858
50k-75k	25.8333	27.1667	53		1.0333	0.9826
above 75k	54.5912	57.4088	112		1.6216	1.5420
Total	155	163	318

Step 3 of 8 : Find the expected value for the number of women with an income of $50,000-$75,000. Round your answer to one decimal place.

expected frequency=Σrow*Σcolumn/Σtotal = 163*53/318 = 27.2

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chi square statistic=Σ(fo-fe)^2/fe=25.91864

Degrees of Freedom=(row-1)(coilumn-1) = 3

p-Value=0.0000