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. (a) Describe the sampling distribution of ModifyingAbove p with caret A. Approximately normal, mu Subscript ModifyingAbove p with caret μ p=0.56 and sigma Subscript ModifyingAbove p with caret σ p≈0.0002 B. Approximately normal, mu Subscript ModifyingAbove p with caret μ p=0.56 and sigma Subscript ModifyingAbove p with caret σ p≈0.0157 C.Approximately normal, mu Subscript ModifyingAbove p with caret μ p=0.56 and sigma Subscript ModifyingAbove p with caret σ p≈0.0005 (b) What is the probability of obtaining x=590 or more individuals with the characteristic? (Round to four decimal places as needed.) (c) What is the probability of obtaining x=540 or fewer individuals with the characteristic? (Round to four decimal places as needed.)

          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. 
(a) Describe the sampling distribution of ModifyingAbove p with
caret
A. Approximately normal, mu Subscript ModifyingAbove p with
caret μ p=0.56 and sigma Subscript ModifyingAbove p with caret σ
p≈0.0002
B. Approximately normal, mu Subscript ModifyingAbove p with
caret μ p=0.56 and sigma Subscript ModifyingAbove p with caret σ
p≈0.0157
C.Approximately normal, mu Subscript ModifyingAbove p with
caret μ p=0.56 and sigma Subscript ModifyingAbove p with caret σ
p≈0.0005 
(b) What is the probability of obtaining x=590 or more
individuals with the characteristic? (Round to four decimal places
as needed.)
(c) What is the probability of obtaining x=540 or fewer
individuals with the characteristic? (Round to four decimal places
as needed.)

Added by John L.

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