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Answer all questions with explanation Group Disease No Disease Total Group 1 X 100 154 Group 2 6 20 26 Group 3 24 52 76

Answer all questions with explanation

Group

Disease

No Disease

Total

Group 1

X

100 154

Group 2

6 20 26

Group 3

24 52 76

Total

84 172 256

1. What is the expected cell count for the top-left cell (marked by the X in the table), if the group variable is independent of the disease status?

2. The p-value for the chi-squared test of independence is 0.467. Which of the following is the best interpretation of this p-value?

a. The probability of the null hypothesis being true is 0.467

b. There is a 46.7% chance that disease status is dependent upon the grouping variable.

c. We should reject the null hypothesis that the grouping variable is independent of the disease status

d. If the grouping variable is independent of the disease status, we would expect to see this imbalance of disease status or more extreme 46.7% of the time.

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