1) Suppose a simple random sample of size n=1000 is obtained from a population w

Question

1) Suppose a simple random sample of size n=1000 is obtained from a population whose size is N=1,500,000 and whose population proportion with a specified characteristic is p=0.72. A) Describe the sampling distribution of p^. B) What is the probability of obtaining x=740 or more individuals with the characteristic? P(x>=740). (Round to four decimal places as needed) c) What is the probability of obtaining x=690 or fewer individuals with the characteristic? P(x<=690). (Round to four decimal places as needed)

Explanation / Answer

Ans:

a)

Mean=population proportion,p=0.72

standard dev.=sqrt(0.72*0.28/1000)=0.0142

b)

sample proportion=740/1000=0.74

z=(0.74-0.72)/0.0142=1.41

P(z>=1.41)=1-P(z<1.41)=1-0.9207=0.0793

c)

sample proportion=690/1000=0.69

z=(0.69-0.72)/0.0142=-2.11

P(z<=-2.11)=0.0174

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.