Suppose a simple random sample of size n=1000 is obtained from a population whose size is N=2,000,000 and whose population proportion with a specified characteristic is p=0.34. Complete parts(a) through(c) below.

(a) Describe the sampling distribution of

p.

A.

Approximatelynormal,

p=0.34 and

p0.0002

B.

Approximatelynormal,

p=0.34 and

p0.0003

C.

Approximatelynormal,

p=0.34 and

p0.015

(b) What is the probability of obtaining x=380 or more individuals with thecharacteristic?

P(x380)=

nothing

(Round to four decimal places asneeded.)

(c) What is the probability of obtaining x=310 or fewer individuals with thecharacteristic?

P(x310)=

nothing

(Round to four decimal places asneeded.)