Imagine a surgery that is known to have a 10% chance of serious side effects. An internal hospital review shows that three out of eight of a particular doctor's patients have these side effects. If we conducted a binomial test of whether this doctor's patients are experiencing unusually low or high rates of side effects, what would our conclusion be?
A) We fail to reject the null hypothesis and therefore conclude that the rate of side effects for this doctor differs from the usual 10%.
B) We fail to reject the null hypothesis and therefore conclude that the rate of side effects for this doctor does not seem to differ from the usual 10%.
C) We reject the null hypothesis and therefore conclude that the rate of side effects for this doctor differs from the usual 10%.
D) We reject the null hypothesis and therefore conclude that the rate of side effects for this doctor does not seem to differ from the usual 10%.
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