CLT: Distribution of Sample Proportion Problem#3 13. A simple random sample of size = 1,000 is obtained from a population whose size is N= 1,000,000 and whose popula- tion proportion with a specified characteristic is p = 0.35. (a) Describe the sampling distribution of p. (b) What is the probability of obtaining x= 390 or more in- dividuals with the characteristic? (c) What is the probability of obtaining x= 320 or fewer individuals with the characteristic? Answer: (a) 0.35, 0.015 (b) 0.40% (c) 2.33%

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Section12.5: Random Variables, Mean, Variance, And Covariance
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CLT: Distribution of Sample Proportion
Problem#3
13. A simple random sample of size = 1,000 is obtained from
a population whose size is N = 1,000,000 and whose popula-
tion proportion with a specified characteristic is p = 0.35.
(a) Describe the sampling distribution of p.
(b) What is the probability of obtaining x = 390 or more in-
dividuals with the characteristic?
(c) What is the probability of obtaining x= 320 or fewer
individuals with the characteristic?
Answer: (a) 0.35, 0.015 (b) 0.40% (c) 2.33%
Transcribed Image Text:CLT: Distribution of Sample Proportion Problem#3 13. A simple random sample of size = 1,000 is obtained from a population whose size is N = 1,000,000 and whose popula- tion proportion with a specified characteristic is p = 0.35. (a) Describe the sampling distribution of p. (b) What is the probability of obtaining x = 390 or more in- dividuals with the characteristic? (c) What is the probability of obtaining x= 320 or fewer individuals with the characteristic? Answer: (a) 0.35, 0.015 (b) 0.40% (c) 2.33%
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