can you please show full working on how to answer this question? 120 trials were
ID: 3240466 • Letter: C
Question
can you please show full working on how to answer this 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
The p - value represents the probability of getting the results as extreme as the sample mean considering null hypothesis is true so if we know the p - value then the number of studies which we would expect to incorrectly find a significant result is equal to:
Number of trials * (p - value)
Since we do not know the p value, there is insufficient information to estimate the expected number.
Option e is correct.
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