According to 2020 US Census, 8.6 % of the people did not have health insurance at any time point during a year. If we take random samples of size n = 200 and calculate the proportion of uninsured

a. Determine the mean and standard deviation of p, sample proportion.

b. Interpret the meaning of the standard error in the context.

c. Write an appropriate probability model for p, sample proportion.

d. Using the model is part c, find the probability that sample proportion p exceed 10%.

e. If a sample size of 300 is drawn instead of 200, write the model for p, sample proportion.