Please Show all work Thank you 14. A simple random sample of size n = 1,460 is o

Question

Please Show all work Thank you 14. A simple random sample of size n = 1,460 is obtained from a population whose size is N 1,500,000 and whose popula- tion proportion with a specified characteristic is p 0.42. (a) Describe the sampling distribution of p. (b) what is the probability of obtaining x 657 or more individuals with the characteristic? 0.0102 (c) What is the probability of obtaining x = 584 or fewer individuals with the characteristic? 0.0606 14, (a) Approximately normal; ? = 0.42, ,-0.013

Explanation / Answer

sampling distribution of P is miu = 0.42* 1460 = 613.2

SD = srqt ( 0.42*0.58*1460) = 18.86

b)

P( z > 657 - 613.2 / 18.86 )   

P( z > 2.32) = 0.0102

c)

P( z < 584 - 613.2 / 18.86 )

P( z < -1.55) = 0.0606

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