What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of 0.1 in the following scenario?

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Question:

What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of of 0.1 in the following scenario?

There is no preliminary estimate for p

Answer:

1. No preliminary estimate for p … so p = 0.5 for maximum margin.

            1.96 (0.5) (0.5)

2. n ≥  __________________

               (0.1)2

3. n ≥ 49

4. n = 49

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