Suppose a simple random sample of size n= 125 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p = 0.4. Complete parts (a)...

Extracted text: Suppose a simple random sample of size n= 125 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p = 0.4. 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. Approximately normal because ns0.05N and np(1- p) 2 10. O B. Approximately normal because ns0.05N and np(1- p) < 10.="" o="" c.="" not="" normal="" because="" ns0.05n="" and="" np(1-="" p)="" 2="" 10.="" o="" d.="" not="" normal="" because="" ns0.05n="" and="" np(1="" -="">< 10.="" determine="" the="" mean="" of="" the="" sampling="" distribution="" of="" p.="(Round" to="" one="" decimal="" place="" as="" needed.)="" determine="" the="" standard="" deviation="" of="" the="" sampling="" distribution="" of="" p.="(Round" to="" six="" decimal="" places="" as="" needed.)="" (b)="" what="" is="" the="" probability="" of="" obtaining="" x="55" or="" more="" individuals="" with="" the="" characteristic?="" that="" is,="" what="" is="" p(p20.44)?="" p(p20.44)="(Round" to="" four="" decimal="" places="" as="" needed.)="" (c)="" what="" is="" the="" probability="" of="" obtaining="" x="40" or="" fewer="" individuals="" with="" the="" characteristic?="" that="" is,="" what="" is="" p(ps0.32)?="" p(ps0.32)="(Round" to="" four="" decimal="" places="" as="">