Question

Suppose a simple random sample of size n=150 is obtained from a population whose size is N=20,000 and whose population proportion with a specified characteristic is p=0.8. Please answer questions (1) through (5) below.

(1) describe the sampling ditriribution of p^ (choose the corrct phrase that best decribes the shape of the sampling below)

a) Not normal because n <, 0.05N and np (1-p) <10.

b) Approximateley normal because n <, 0.05N and np (1-p) >10.

c) Approximateley normal because n <, 0.05N and np (1-p) <10.

d) Not normal because n <, 0.05N and np (1-p) >10.

2) Determine the mean of the sampling distribution of p^.

p^ = ______ (round to one decimal place as needed)

3) Determine the standard deviation of the sampling distribution of p^.

p^ = ______ (roaund six decimal places as needed)

4) What is the probability of obtaining x=123 or more individuals with the characterstic? that is , what P(p^ > 0.82)?

P( p^ > 0.82) = _____ (Round four decimals places)

5) What is the probability of obtaining x = 111 of fewer individuals with the characteristic ? that is what is P(p^ < 0.74)?

P(p^ < 0.74) = _______ (Round to four decimal places as needed)

Answer 1

Same as your other post:
http://www.jiskha.com/display.cgi?id=1417003909