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I do not think answer b is completelty correct unless some note is
The Statistical Question states:
"At 11 weeks, the relative risk of a self reported successful outcome
(defined as "much better") for the standardised programme compared with
placebo was 1.43 (95% confidence interval 0.87 to 2.34)."
Answer b) which you declare correct says:
"The probability that the confidence interval contains the population
relative risk is 0.95".
Once you have obtained the sample and the CI a probability sentence has no
sense. So, one cannot claim the probability that the interval (0.87-2.34)
contains the population RR is 0.95. This is what it seems you are
declaring as correct. It is true that answer b does not say exactly this
but it seems so.
I think one can only affirm that the method employed arrives to an
interval containing the population RR 95% of the times and thus you can be