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## Main Question or Discussion Point

Hi, my main sticking point with the following is which bit of statistics/probability theory is needed to answer the question. We've only been taught basic Bayes theory, the standard pdfs and a little on hypothesis testing. I have spent way too much time just trying to figure out where to start, any pointers appreciated.

"A bakery has suspicions that their recent production run of cherry pies has resulted in half of all the pies becoming contaminated. The bakery is trying to work out how this issue will change the number of customers complaining. How many cherry pies out of their recent production run does the bakery need to test, to determine the probability that any given cherry pie is contaminated to better than 5%".

"A bakery has suspicions that their recent production run of cherry pies has resulted in half of all the pies becoming contaminated. The bakery is trying to work out how this issue will change the number of customers complaining. How many cherry pies out of their recent production run does the bakery need to test, to determine the probability that any given cherry pie is contaminated to better than 5%".