If we want to find the required sample size for the interval estimation of the population proportion,and no reasonable estimate of this proportion is available,we assume the worst-case scenario under which

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When no reasonable estimate of the population proportion is available, we assume the worst-case scenario of p=0.5. This is because the sample size required for a given level of confidence and margin of error is highest at p=0.5, and assuming a lower or higher proportion would lead to an overestimation of sample size.

If We Want to Find the Required Sample Size for the Interval