Question 1:

Part A: Suppose we select a simple random sample of size n = 325 from a large population with a proportion p of successes. Letpbe the proportion of successes in the sample. For which value of p is it appropriate to use the Normal approximation for the sampling distribution ofp?

a. 0.01

b.0.02

c.0.05

d.0.98

e.0.99

Part B: Three hundred randomly selected residents in Hogsmeade were surveyed and asked, "Do you support the city's decision to build a parking garage in your area?" A total of 203 said no, 7 said yes, and 90 had no opinion. A large sample z-confidence interval,p z *square root of p hat times 1 minus p hat over n, was constructed from these data to estimate the proportion that support building the parking garage. Which statement is true for the confidence interval?

a.A sample size of more than 30 was used; therefore, the confidence interval is valid.

b. This confidence interval is not valid because the quantity npis too small.

c. Each resident was asked the same question; therefore, the confidence interval is valid.

d. Because there are no conditions required for constructing a large sample confidence interval for a proportion, the confidence interval is valid

e."No opinion" was included as a response category for the question; therefore, this confidence interval is not valid.