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