To test the null hypothesis that the difference between two population proportio

Question

To test the null hypothesis that the difference between two population proportions is equal to a nonzero constant c, use the test statistic shown to the right. As long as n and n2 are both large, the sampling distribution of the test statistic z will be approximately the standard normal distribution. Among 2669 female atom bomb survivors, 1375 developed thyroid diseases. Among 1250 male atom bomb survivors, 390 developed thyroid diseases. Use a 0.01 significance level to test the claim that the rate of thyroid disease among female survivors is equal to 15 percentage points more than that for male survivors P191 P292 What are the null and alternative hypotheses? Let the female atom bomb survivors be group 1 and the male atom bomb survivors be group 2 OA. Ho:P1-P2-0.15 D. Ho:p1-p2-0.15 OC. Ho: P1-P20.15 :-P2 0.15 O F. Ho: P1-2-0.15 1: P1 P2 0.15 B. Ho :P1-p2 $0.15 H1 : p1-p2 #0.15 P-P2>0.15 H: P1 -P2

Explanation / Answer

choose A is right

p1=1375/2669 =0.51 q1= 0.49    p2=390/1250 =0.31 q2=0.69

z= (0.51-0.31)/sqrt(0.25/2669 + 0.21/1250)   =(0.2/0.016) =12.5

z critical at p=0.015 is -2.32

the test stats is not in critical region ,so we fail to reject the null hypothesis .there is sufficient evidences

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