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=0.49. Complete parts(a) through(c) below.

(a) Describe the sampling distribution of

p.

A.

Approximatelynormal,

p=0.49 and

p0.0004

B.

Approximatelynormal,

p=0.49 and

p0.0158

C.

Approximatelynormal,

p=0.49 and

p0.0002

(b) What is the probability of obtaining x=520 or more individuals with thecharacteristic?

P(x520)=

nothing

(Round to four decimal places asneeded.)

(c) What is the probability of obtaining x=470 or fewer individuals with thecharacteristic?

P(x470)=

nothing

(Round to four decimal places asneeded.)