When a confidence interval for a population proportion is constructed for a sample size of 30 and the value of $\hat { p }$
Is 0.4,the confidence interval is based on the ____ distribution.
A)z
B)t
C)F
D)exponential
E)Poisson

Question

Quizplus · Accepted Answer

The confidence interval for a population proportion is typically based on the z distribution (normal distribution) when the sample size is large enough. Although a sample size of 30 is generally considered the minimum for the Central Limit Theorem to apply, in practice, the z distribution is used for proportions because the binomial distribution (which governs proportions) approaches the normal distribution as the sample size increases.

When a Confidence Interval for a Population Proportion Is Constructed p^\hat { p }p^​

When a Confidence Interval for a Population Proportion Is Constructed $\hat { p }$