suppose a random sample of size n150 che httpswwwmathd rTest

che https//www.mathd rTestaspx?testld-1055974618centerwinzyes Ramon Rodriguez 8/31/15 11 BO Test: Test II 3 of 21 whose size is N-25,000 and whose Suppose a single random sample of sive n-150 is obeained from a populatien pepulation propartien with a speciSed characteristic is p o 6 Complete parts (a) theough (e) below (a) Describe the sampling Estribation of p Cheose the phrase that best describes the shape of the sampling distcibtion below OA Not sormal because n 50.05N and npt p)

Solution

PART A:

Here, 0.05N = 1250, n p (1 - p) = 36.

Thus,

It is OPTION C: Approximately normal because n <= 0.05N and n p (1 - p) >= 10.

***************************

The mean of the sampling distribution of p^ is also p,

u(p^) = p = 0.6 [ANSWER]

***************************
Meanwhile,

sigma(p^) = sqrt[ p (1 - p) / n ] = 0.04 [ANSWER]