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120 trials were conducted worldwide to investigate whether an SMS reminder servi

ID: 3254405 • Letter: 1

Question

120 trials were conducted worldwide to investigate whether an SMS reminder service could improve adherence to taking medication despite some unpleasant side effects. Assuming significance tests were conducted at a significance level of 0.05 (so we reject if p<0.05) independently for each trial and that the null hypothesis is actually true, how many of these studies would we expect to incorrectly find a significant result?

a. 4

b. 6

c. 5

d. 120

e. There is insufficient information to estimate the expected number

a. 4

b. 6

c. 5

d. 120

e. There is insufficient information to estimate the expected number

Explanation / Answer

Explanation: There is insufficient information to estimate the expected number, since the probability that these studies would expect incorrectly to find a significant result. The formula for calculating the expected value is np.

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