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2) Men with prostate cancer were randomly assigned to undergo surgery (n=347 ) o

ID: 3219614 • Letter: 2

Question

2) Men with prostate cancer were randomly assigned to undergo surgery (n=347 ) or “ watchful waiting” ( no surgery, ). Over the next several years there were 83 deaths in the first group and 106 deaths in the second group. The results are given in the table. Preform the chi-square test to determine whether the treatment and survival are independent of each other.

Surgery

WW

Total

Died

83

106

189

Alive

264

242

506

Total

347

348

695

Surgery

WW

Total

Died

83

106

189

Alive

264

242

506

Total

347

348

695

Explanation / Answer

H0:treatment and survival are independent of each other

H1: treatment and survival are not independent of each other

alpha:5%

Test statistic:

Chi square cal=3.75

Chi square critical value at 1 df is 3.84

Conclusion:

Chi square cal < Chisquare critical value we do not reject the H0.

Hence treatment and survival are independent of each other

Oi ei (oi-ei)^2/ei         83.00              94.36                1.37      106.00              94.64                1.36      264.00 252.64                0.51      242.00 253.36                0.51 sum=                3.75
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