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(a) Construct a contingency table for the two variables.

Course

Personal

Work

Male

6

5

8

Female

7

7

3

(b) Test whether gender is independent of drop reason at the =0.1 level of significance.

What are the hypotheses?

A.

H0:

OC=EC

and

OP=EP

and

OW=EW

H1:

OCEC

or

OPEP

or

OWEW

B.

H0:

Gender and drop reason are independent.

H1:

Gender and drop reason are dependent.

Your answer is correct.

C.

H0:

pC=pP=pW

H1:

At least one of the proportions is different from the others.

*Just need help with the problem below.

Compute the value of the chi-square test statistic.

20=. __?__

(Round to three decimal places as needed.)

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