A certain chromosome defect occurs in only 1 in 210 adult Caucasian males. A random sample of  n = 100  adult Caucasian males is to be obtained. (a) What is the mean value of the sample proportion p̂, and what is the standard deviation of the sample proportion? (Round your answers to four decimal places.) mean standard deviation (b) Does p̂ have approximately a normal distribution in this case? Explain. (Select all that apply.) the sampling distribution of p̂ is approximately normal   the sampling distribution of p̂ is not approximately normal   np is less than 10   np equals 10   np is greater than 10   n(1 − p) is less than 10   n(1 − p) equals 10   n(1 − p) is greater than 10 (c) What is the smallest value of n for which the sampling distribution of p̂ is approximately normal? n =  _____ adult Caucasian males

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A certain chromosome defect occurs in only 1 in 210 adult Caucasian males. A random sample of 
n = 100
 adult Caucasian males is to be obtained.
(a)
What is the mean value of the sample proportion p̂, and what is the standard deviation of the sample proportion? (Round your answers to four decimal places.)
mean
standard deviation
(b)
Does p̂ have approximately a normal distribution in this case? Explain. (Select all that apply.)
the sampling distribution of p̂ is approximately normal
 
the sampling distribution of p̂ is not approximately normal
 
np is less than 10
 
np equals 10
 
np is greater than 10
 
n(1 − p) is less than 10
 
n(1 − p) equals 10
 
n(1 − p) is greater than 10
(c)
What is the smallest value of n for which the sampling distribution of p̂ is approximately normal?
n =  _____ adult Caucasian males
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