Answers to Quiz Six
1a. The expected value for the case exposed cell is (90 x 100)/300 = 30.
Solve for the other expected values by subtraction.
Case Control
Exp 30 60
Not exp 70 140
b. The test statistic equals (40-30)sq/30 + (50-60)sq/60 + (60-70)sq/70 +
(150-140)sq/140 = 7.14. Reject the null hypothesis with p < .01.
c. The odds ratio equals (40 x 150)/(60 x 50) = 3.0.
d. The two sample test of proportions equals (.4 - .25)/sqrt(.3 x .7 x
(.01 + .005)) = 2.67. Reject the null hypothesis with p < .01.