Suppose a simple random sample of size n 50 is obtained from a population whose size is N20,000 and whose population proportion with a specified characteristic is p 0.4 (a) Describe the sampling...


Suppose a simple random sample of size n 50 is obtained from a population whose size is N20,000 and whose population proportion with a specified characteristic is p 0.4<br>(a) Describe the sampling distribution of p<br>Choose the phrase that best describes the shape of the sampling distribution below<br>OA. Approximately normal because ns0.05N and np(1 - p) 2 10<br>O B. Not normal because ns 0.05N and np(1 - p)2 10.<br>O C. Approximately normal because ns0.05N and np(1 - p)< 10<br>O D. Not normal because ns0.05N and np(1- p) 10<br>Determine the mean of the sampling distribution of p.<br>(Round to one decimal place as needed.)<br>HA<br>Determine the standard deviation of the sampling distribution of p.<br>(Round to six decimal places as needed.)<br>(b) What is the probability of obtaining x 23 or more individuals with the characteristic? That is, what is P(p 0.46)?<br>P20.46)=<br>(Round to four decimal places as needed.)<br>(c) What is the probability of obtaining x 16 or fewer individualss with the characteristic? That is, what is P(p s0.32)?<br>PG S0.32)=<br>(Round to four decimal places as needed.)<br>

Extracted text: Suppose a simple random sample of size n 50 is obtained from a population whose size is N20,000 and whose population proportion with a specified characteristic is p 0.4 (a) Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below OA. Approximately normal because ns0.05N and np(1 - p) 2 10 O B. Not normal because ns 0.05N and np(1 - p)2 10. O C. Approximately normal because ns0.05N and np(1 - p)< 10="" o="" d.="" not="" normal="" because="" ns0.05n="" and="" np(1-="" p)="" 10="" determine="" the="" mean="" of="" the="" sampling="" distribution="" of="" p.="" (round="" to="" one="" decimal="" place="" as="" needed.)="" ha="" 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="" 23="" or="" more="" individuals="" with="" the="" characteristic?="" that="" is,="" what="" is="" p(p="" 0.46)?="" p20.46)="(Round" to="" four="" decimal="" places="" as="" needed.)="" (c)="" what="" is="" the="" probability="" of="" obtaining="" x="" 16="" or="" fewer="" individualss="" with="" the="" characteristic?="" that="" is,="" what="" is="" p(p="" s0.32)?="" pg="" s0.32)="(Round" to="" four="" decimal="" places="" as="">

Jun 03, 2022
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