Suppose a simple random sample of size n =1000 is obtained from a population whose size is N=1,500,000 and whose population proportion with a specified characteristic is p=0.22. Complete parts (a) through (c) below.

(a) Describe the sampling distribution of p.

A.Approximately normal, p = 0.22 and p 0.0002

B.Approximately normal,p=0.22 andp0.0003

C.Approximately normal,p=0.22 andp0.0131

(b) What is the probability of obtaining x=260 or more individuals with the characteristic?

P(x260) = ____ (Round to four decimal places as needed.)

(c) What is the probability of obtaining x=190 or fewer individuals with the characteristic?

P(x190)= _____ (Round to four decimal places as needed.)