Question

Quesbon Help Suppose a simple random sample of size n 1000 is obtained from a population whose site is N-1,000,000 and where population proportion with a spected characteristic isp.036. Completo pares: (a) through (e) below (a) Descate the samping distribution of O A. Approximately rom, 0.35 and 0,00002 OB. Approximately normal, 0.36 and 0.0005 OC. Approximately 0.36 and 00151 What is the probability of obtaining x 380 or more individuals with the characterist? Px300) - (Round to four decimal places as needed) (c) What is the probability of obtaining x = 310 or fewer individuals with the characteristic? PX <310) - Round to four decimal places as needed)

Answer 1

Data Solution in Ceiven :- Do 1000 1000000 P = 0.35 mean = uê 0.35 Standard deviation = da معلم op 0.35*0.65 1000 - 0.0002275 0.0151 a) . The sampling distribution of Ê is el p=0.35 oc). Approximately normas and fi = 0.0151 b) TO find PE 3380) find Play, 0.38 i.e. TO (since Лc| () од , 2 = 3802 0:38 -0.35 :: P ( x 20.38 ) = P (² x-llas GS 0.0151 and with CamScanner

EP1 221.68675) P(Z < 1.98675 0.977 0.023 PC x2,0.38) = 0.023 c) iie. To To find P(x<310 find P ( x<0.31) P(x<0.31) p( x- lp < 0.31-0.35 S 0.0151 P(Z < -2.649 0.004 1. P ( x 20.31) 0.004