Question

Suppose the true proportion of voters in the county who support a restaurant tax is 0.5. Consider the sampling distribution for the proportion of supporters with sample size n = 165.

What is the mean of this distribution?

Answer 1

the mean of the sampling distribution for the proportion of supporters with sample size n = 165 is 0.5.

Explanation:

According to the Central Limit Theorem, assuming the sampling is random and sample size is big enough (≥30) the mean of the sampling distribution is the population mean.

Therefore the mean of the sampling distribution for the proportion of supporters with sample size n = 165 is 0.5