O Take a Test PlayerTest.astestld 1625922 Test: Exam #3 This Question: 4 pts res

Question

O Take a Test PlayerTest.astestld 1625922 Test: Exam #3 This Question: 4 pts researcher fraphone company rveys 300 peopleand frdstate popotonddrs,o "ik.ybwehr de. ~twem'-. a) What is the estimated standard devation of the sampling distribution of the proportion? b)If she warts to reduce ee esinated staniard deviation by har how Irgeof,-would de-e a)The estimated standard devaton ofthe sampingdetrbunon ofthe proportonis[0236 Round to four decimal places as needed) b)She wil need a sample of (Type a whole number ) n each of

Explanation / Answer

Solution:- n = 300 p = 0.21

a) standard deviation: sqrt(pq/n) = sqrt(0.21*0.79/300) = 0.0235

b) SD/2 = sqrt(pq/n)/2
= sqrt(0.21*0.79/300)/2
= sqrt(0.21*0.79/300) * (1/2)
= sqrt((0.21*0.79/300)*(1/4))
= sqrt(0.21*0.79/1200)
n = 1200
or

sd(p) = 0.0235/2 = 0.01175

0.01175 = sqrt(0.21*0.79/n)
sqrt(n) = sqrt(0.21*0.79)/0.01175
sqrt(n) = 34.6645
n = 1201.3156
n = 1201

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