Question

Suppose a simple random sample of size n=1000 is obtained from a population whose size is...

Suppose a simple random sample of size n=1000 is obtained from a population whose size is N=1,000,000 and whose population proportion with a specified characteristic is p=0.61.

(a) What is the probability of obtaining x = 640 or more individuals with the characteristic?

P(x≥640) = ___________

******* There's a second part but I can't see it until I answer this part. Can you help me with the second part after part a is completed?

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Answer #1

a) P(x≥640) is calculated by find the Z score at X=640 since because N=1000000 is very large to assume it as a normal distribution hence

Z at X=640

0.64 0.61 P P 1.95 /0.61(1-0.61) 1000 p(1-p)

where,

640 0.64 P = 1000

now

P(x≥640)=P(Z> 1.95) which is computed using Z table shown below as

=0.0256

Table of Standard Normal Probabilities for Negative Z-scores Table of Standard Normal Probabilities for Positive Z-scores aco

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