Question

Suppose a simple random sample of size n = 75 is obtained from a population whose size is N = 10,000 and whose population proportion with a specified characteristic is p=0.6. Complete parts (a) through (c) below. (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 n s 0.05N and np(1-p) < 10. O B. Not normal because ns0.05N and np(1-P) 2 10. O C. Approximately normal because n s 0.05N and np(1-p) < 10. OD. Approximately normal because n s 0.05N and np(1-P) 10.

Answer 1

Given no 75 N=10.000, puoir normal because n<0.05N and q) Describe the samplining distribution of Ans - D. Approximately normal np(-p) >'10. * Mean of the sampling distribution of alla = 46 = 0,6 * standard deviation of the samplong distributor of This Þ(1-6) 0.4 0.6 75 n -0.056569

b). To find PÅ 3, 0:68) PC 2.0.68) - (Free ''. > .8.68 - of 씬 66 By Standodizing f pl zz Z » 0.68 -0.6 0.056569 P(2» 1.414) PC > 0.68) = 1 - P(Z < 1.414) (if zun(0, 1) = P(x2a)=1-P(x59) P( 6 2,0.68 0.9207 IPC $ 7,0. 0.68) = 0.0793

e) To find :- PC R {0.56) PC Â 30.56) 탄rd 5.0 و el ON 6 Plz < 0.56 0:56 - 0.6 0.056569 = pa zs - 0.707 - 0.2420 PCÊ 20.56 = 0.2420