SOLUTION: With a sample size of n = 80 The proportion of successes in the population p = 0.44 The number of successes in the sample is X What is the Probabilty P (X

Click here to see ALL problems on Probability-and-statistics

Question 853662: With a sample size of n = 80
The proportion of successes in the population p = 0.44
The number of successes in the sample is X
What is the Probabilty P (X < 40)
(Use CLT for Proportion Probabilities)
Question 4 options:

0.1401

approximately 1

0.8599

0.5948

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
With a sample size of n = 80
The proportion of successes in the population p = 0.44
The number of successes in the sample is X = 0.44*80 = 35
-----------------------------------------------------------
What is the Probabilty P(X < 40)
std = sqrt(npq) = sqrt(35.2*0.56) = 4.44
z(40) = (40-35.2)/[4.44/sqrt(80) = 9.669
----
P(X < 40) = P(z < 9.669) is approximately 1
-----------------------------------------
(Use CLT for Proportion Probabilities)
Question 4 options:
0.1401
approximately 1
0.8599
0.5948
===================
Cheers,
Stan H.
===================

SOLUTION: With a sample size of n = 80 The proportion of successes in the population p = 0.44 The number of successes in the sample is X What is the Probabilty P (X < 40) (Use CL