In Example 3.11 we were interested in testing the hypothesis that a new form of

In Example 3.11 we were interested in testing the
hypothesis that a new form of aspirin is effective 80 percent of the time rather
than the 60 percent of the time as reported for standard aspirin. The new
aspirin is given to n people.If it is effective in m or more cases we accept the claim
that the new drug is effective 80 percent of the time and if not we reject the
claim. Using the Central Limit Theorem show that you can choose the number of
trials n and the critical value m so that the probability that we reject the
hypothesis when it is true is less than .01 and the probability that we accept
it when it is false is also less than .01. Find the smallest value of n that
will suffice for this.