Suppose a simple random sample of size nequals1000 is obtained from a population whose size is Nequals1 comma 500 comma 000 and whose population proportion with a specified characteristic is p equals 0.26 . Complete parts​ (a) through​ (c) below.
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Part 1
​(a) Describe the sampling distribution of ModifyingAbove p with caret.
A.
Approximately​ normal, mu Subscript ModifyingAbove p with caretequals0.26 and sigma Subscript ModifyingAbove p with caretalmost equals0.0002
B.
Approximately​ normal, mu Subscript ModifyingAbove p with caretequals0.26 and sigma Subscript ModifyingAbove p with caretalmost equals0.0004
C.
Approximately​ normal, mu Subscript ModifyingAbove p with caretequals0.26 and sigma Subscript ModifyingAbove p with caretalmost equals0.0139
Part 2
​(b) What is the probability of obtaining xequals290 or more individuals with the​ characteristic?
​P(xgreater than or equals290​)equals
  
enter your response here ​(Round to four decimal places as​ needed.)
Part 3
​(c) What is the probability of obtaining xequals220 or fewer individuals with the​ characteristic?
​P(xless than or equals220​)equals
  
enter your response here ​(Round to four decimal places as​ needed.)