Question

# Which of the following is true? The shape of the sampling distribution of sample proportion is...

Which of the following is true?

The shape of the sampling distribution of sample proportion is always bell-shaped.

As n increases, the mean of the sampling distribution of sample proportion gets closer to the population proportion.

The shape of the sampling distribution of sample proportion becomes approximately normal as n gets large.

The shape of the sampling distribution of sample proportion gets closer to the shape of the population distribution as n gets large.

As n increases, the mean of the sampling distribution of sample proportion gets closer to the population proportion.

Explanation:

The above statement is true because the sampling distribution of the sample proportion follows an approximate normal distribution with the mean approximately equal to population proportion. As we increase the sample size n, then the mean of the sampling distribution of sample proportion gets closer to the population proportion.