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A market research analyst wants to estimate the unknown proportion = p of customers willing to accept upgraded services. She wanted to use the confidence

A market research analyst wants to estimate the unknown proportion = p of customers willing to accept upgraded services. She wanted to use the confidence level = C = 99% and make sure that the margin or error in her estimate for this proportion does not exceed B = 3.5% = 0.035

1. Show the critical value required for this procedure

2. Evaluate the smallest sample size needed.

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