Question

Suppose a simple random sample of size n=1000 is obtained from a population whose size is N=1,000,000 and whose population proportion with a specified characteristic is p=0.56. Complete parts (a) through (c) below Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) (a) Describe the sampling distribution of p O A. Approximately normal, A=0.56 and CAR 0.0005 OB. Approximately normal, Ha=0.56 and 0.0002 &c. Approximately normal, p=0.56 and 0.0157 (b) What is the probability of obtaining x = 590 or more individuals with the characteristic? PX2 590) = 028 (Round to four decimal places as needed) (C) What is the probability of obtaining x = 540 or fewer individuals with the characteristic? P(xs 540) - (Round to four decimal places as needed)

Answer 1

© Up = 0.56, 58=0.0157,7-*-u Plix=540) - P(1940.54) - P(Z <0.54-0.56 | nes 0.0157) - Plz= 1.27)=10.1020