Question

A survey of 36 randomly selected students who dropped a course was conducted ata college. The folowing results were collected (a) Construct a contingency table for the two variables Personal Work Full data set Male Personal Personal Personal Course Personal Course Course Work Work Course Personal Course F PersonalF Personal F Female Work Work Course F F Work CourseF F Personal M CourseF Personal M (b) Test whether gender is independent of drop reason at the ?-0.1 level of significance What are the hypotheses? Personal F Personal F Course Work F Personal F F PersonaM Work 0 A, Course M CourseM Ho: Gender and drop reason are independent. H1: Gender and drop reason are dependent. F Work F Course Work Work Work H4: At least one of the proportions is different from the others OC. Ho: Oc = EC and OP-EP and Ow = Ew Determine the P-value. P-value- (Round to three decimal places as needed.) Make the proper conclusion. Choose the correct answer below OA. Reject Ho. There is not sufficient evidence that gender and drop reason are dependent. Reject Ho. There is sufficient evidence that gender and drop reason are dependent. Fail to reject Ho. There is not sufficient evidence that gender and drop reason are dependent. O B. C. D. Fail to reject Ho- There is sufficient evidence that gender and drop reason are

Answer 1

from given data:

a) contingency table:

	course	personal	work
male	8	3	8
female	4	10	3

b)

for hypothesis:option A is correct

applyinhg chi square test:

Expected	Ei=?row*?column/?total	course	personal	work	Total
	male	6.333	6.861	5.806	19
	female	5.667	6.139	5.194	17
	Total	12	13	11	36
chi square	=(Oi-Ei)2/Ei	course	personal	work	Total
	male	0.439	2.173	0.829	3.44
	female	0.490	2.428	0.927	3.85
	Total	0.93	4.60	1.76	7.287

p value for above test statistic =0.026

conclusion: option B

c)

	course	personal	work
male	0.421	0.158	0.421
female	0.235	0.588	0.176