Provide an Appropriate Response $0.1 ( 10 \% )$ If Samples of Size 100 Are Repeatedly Drawn from Handers

Multiple Choice

Provide an appropriate response.
-Suppose that the proportion of left handers in a certain population is $0.1 ( 10 \% )$ . If samples of size 100 are repeatedly drawn from this population and the proportion of left handers in each sample is recorded, what can you say about the distribution of the sample proportions?

A) The sample proportions are approximately normally distributed with a mean of $0.1$ and a standard deviation of approximately $1 / 10$ .
B) Each sample proportion will be equal to 0.1.
C) The sample proportions are approximately uniformly distributed between the values of 0 and $0.2$ .
D) The sample proportions are approximately normally distributed with a mean of $0.1$ and a standard deviation of approximately $1 / 20$ .