You take a simple random sample of 100 adults from a town in the Western United States to determine the proportion of those in town who invest in the stock market. Assume the unknown population proportion or percentage of people in town who invest in the stock market is p = 0.30 (or 30%).

1. What is the mean of the distribution of the sample proportions?

a. 30
b. 70
c. 0.70
d. 0.30

2. What is the standard deviation of the distribution of the sample proportions?

a. 0.004
b. 0.046
c. 0.458
d. 4.583

3. What is the probability that your random sample of 100 adults will have a sample proportion less that 0.25?

a. 0.138
b. 0.124
c. 0.876
d. 0.862