A police department is interested in learning if men or women do better as a result...

A police department is interested in learning if men or women do better as a result of their training course. They administer a skills test to 60 newly trained officers: 30 males and 30 females. Use the data below to establish hypotheses and test them using a chi-square test. State the decision with regard to whether the H₀ is ultimately rejected or retained.

Test Scores	Customary Course	New Course
Excellent	7	13
Good	15	15
Unsatisfactory	8	2

Solutions

Expert Solution

let us consider the null and alternative hypothesis is

Ho:test score is independent of training course

Ha:test score is dependent on training course

Observed Frequencies
	Column variable			Calculations
test scores	Customary Course	New Course	Total		fo-fe
Excellent	7	13	20		-3	3
Good	15	15	30		0	0
Unsatisfactory	8	2	10		3	-3
Total	30	30	60

Expected Frequencies
	Column variable
test scores	Customary Course	New Course	Total		(fo-fe)^2/fe
Excellent	10	10	20		0.9	0.9
Good	15	15	30		0	0
Unsatisfactory	5	5	10		1.8	1.8
Total	30	30	60

Data
Level of Significance	0.05
Number of Rows	3
Number of Columns	2
Degrees of Freedom	2

Results
Critical Value	5.991465
Chi-Square Test Statistic	5.4
*p-Value*	0.067206
Do not reject the null hypothesis

the value of chi square test is 5.4

p value is 0.0672

since p value is greater than 0.05 so we do not reject Ho and concluude that test score is independent of training course

orchestra answered 11 months ago

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