Question

Suppose a simple random sample of size 150 is obtained from a population whose size is N 30,000 and whose population proportion with a specified characteristic is p0.8. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. O A. Not normal because ns0.05N and p(1-P) 10. OB. Approximately normal because ns0.05N and p1 - p) < 10. OC. Approximately normal because ns0.05N and no 1- 10 OD. Not normal because ns0.05N and p1-)10. Determine the mean of the sampling distribution of p. HAL (Round to one decimal place as needed) Determine the standard deviation of the sampling distribution of G= (Round to six decimal places as needed.) 129 or more individuals with the characteristic? That is what is Pip 20.06)? (b) What is the probability of obtaining x Pip 20.86) = (Round to four decimal places as needed.) Click to select your answer(s).

Answer 1

a)
np(1-p) = 24

option C) is correct

mu_p^ = p = 0.8

sigma_p^ = sqrt(p(1-p)/n)) = 0.032660

b)
Z= (p^ - 0.8)/0.032660

P(p^ > 0.86)
= 0.0331

P(p^ < 0.72)
= 0.0072

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