When testing whether a population proportion is zero,a t test can be used only if the sample size is large.

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When testing whether a population proportion is zero, a z test can be used when the sample size is large. A t test is used when the population standard deviation is unknown and must be estimated from the sample, but in this case the null hypothesis is that the population proportion is zero, and the standard deviation is already known (p=0). Therefore, a z test can be used regardless of the sample size.

When Testing Whether a Population Proportion Is Zero,a T Test