Assuming that π = .50 is a quick and conservative approach to use in a sample size calculation for a proportion.

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Assuming π = .50 is a quick and conservative approach to use in a sample size calculation for a proportion because it represents the largest possible proportion of success, which will result in the largest possible sample size needed for a given level of precision or confidence. However, if a smaller or more specific proportion is known or suspected, it may be more appropriate to use that value in the calculation.

Assuming That π =