Suppose a simple random sample of size n= 200 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p= 0.2. Complete parts (a) through (c) below. (b) What is the probability of obtaining x = 50 or more individuals with the characteristic? That is, what is P(p20.25)? P(ô20.25) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 38 or fewer individuals with the characteristic? That is, what is P(ps0.19)? Pos0.19) = (Round to four decimal places as needed.)
Suppose a simple random sample of size n= 200 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p= 0.2. Complete parts (a) through (c) below. (b) What is the probability of obtaining x = 50 or more individuals with the characteristic? That is, what is P(p20.25)? P(ô20.25) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 38 or fewer individuals with the characteristic? That is, what is P(ps0.19)? Pos0.19) = (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question #23 Part B & C
Transcribed Image Text:Suppose a simple random sample of size \( n = 200 \) is obtained from a population whose size is \( N = 15,000 \) and whose population proportion with a specified characteristic is \( p = 0.2 \). Complete parts (a) through (c) below.
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**(b)** What is the probability of obtaining \( x = 50 \) or more individuals with the characteristic? That is, what is \( P(\hat{p} \geq 0.25) \)?
\( P(\hat{p} \geq 0.25) = \_\_\_\_ \) (Round to four decimal places as needed.)
**(c)** What is the probability of obtaining \( x = 38 \) or fewer individuals with the characteristic? That is, what is \( P(\hat{p} \leq 0.19) \)?
\( P(\hat{p} \leq 0.19) = \_\_\_\_ \) (Round to four decimal places as needed.)
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