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Bob, an organic fruit grower, ran a blind taste test to see if people could tell the difference between organically grown fruit and non-organically grown

Bob, an organic fruit grower, ran a blind taste test to see if people could tell the difference between organically grown fruit and non-organically grown fruit. He randomly selected a sample of 250 people, and gave each person a piece of each type of fruit. He asked them to identify which was the organically grown fruit, and 147 people correctly did so. Use these results to help answer the questions below.

Let p be the population proportion of people who can correctly identify the organic fruit.

If we wished to estimate with 95% confidence the proportion of customers who could identify organic fruit to within an accuracy of 0.05, what is the minimum sample size we should use?

a.

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