Question: A sample of 200 jelly beans from a bulk store bin contains 35 red jelly beans.

1. Use the data from this sample to estimate the population proportion for the entire population of red jelly beans (include the margin of error).
2. If the sample was doubled to 400, and the proportion of red jelly beans remained constant (i.e. 70/400 red jelly beans), what would the new margin of error be?
3. What sample size should you be using if you wished to be able to estimate the true proportion correct to within 0.02 (with probability of 95%)?

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