On the one hand Sampling Distributions can be viewed as a special case of Random Variables since we discussed two special random variables. Check tlat the Normal conditions are met. Suppose this claim is true.
The standard deviation would be smaller.
Check tlat the Normal conditions are met. Let p-hat be the proportion of people in the sample who attended church. The mean of our sampling distribution of our sample proportion is just going to be equal to the mean of our random variable X divided by n. For large samples the sample proportion is approximately normally distributed with mean m_hatPp and.