Suppose a simple random sample of size nequals=200 is obtained from a population whose size is Upper N equals 30 comma 000N=30,000 and whose population proportion with a specified characteristic is p...




Suppose a simple random sample of size
nequals=200

is obtained from a population whose size is
Upper N equals 30 comma 000N=30,000

and whose population proportion with a specified characteristic is
p equals 0.6 .p=0.6.

Complete parts ​(a) through​ (c)
below.





​(a) Describe the sampling distribution of
ModifyingAbove p with caretp.


Choose the phrase that best describes the shape of the sampling distribution below.






A.


Not normal because
n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.






B.


Not normal because
n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<>






C.


Approximately normal because
n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.






D.


Approximately normal because
n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<>





Determine the mean of the sampling distribution of
ModifyingAbove p with caretp.




mu Subscript ModifyingAbove p with caret Baseline equalsμp=nothing

​(Round to one decimal place as​ needed.)



Jun 04, 2022
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