SOLUTION: From a large number of actuarial exam scores, a random sample of 250 scores is selected, and it is found that 177 of these 250 are passing scores. Based on this sample, find a 90%

Question 512911: From a large number of actuarial exam scores, a random sample of 250 scores is selected, and it is found that 177 of these 250 are passing scores. Based on this sample, find a 90% confidence interval for the proportion of all scores that are passing. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
What is the lower limit of the 90% confidence interval?
What is the upper limit of the 90% confidence interval?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
From a large number of actuarial exam scores, a random sample of 250 scores is selected, and it is found that 177 of these 250 are passing scores.
--------------------------
Based on this sample, find a 90% confidence interval for the proportion of all scores that are passing. Then complete the table below.
--------------------------
p-hat = 177/250 = 0.708
ME = 1.645*sqrt[0.708*0.292/250] = 0.047
------------------

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
What is the lower limit of the 90% confidence interval?::0.71-0.05 = 0.66
What is the upper limit of the 90% confidence interval?::0.71+0.05 = 0.76
============================
Cheers,
Stan H.
=============

RELATED QUESTIONS
From a large number of actuarial exam scores, a random sample of 250 scores is selected,... (answered by Boreal)

in a survey on choice of bachelors program, it is found that the probability that a... (answered by stanbon)

Consider a large population of scores from a bimodal distribution with mean μ = 64... (answered by stanbon)

IQ scores in a general adult population have mean 100 and standard deviation 15. A simple (answered by stanbon)

.A final exam in Math 160 has a mean of 73 with standard deviation 7.73. Assume that a... (answered by stanbon)

3. Assume a very large normally distributed population of scores on a test with mean 77... (answered by stanbon)

Candidates for employment at a city fire department are required to take a written... (answered by ewatrrr)

An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the... (answered by rothauserc)

An IQ test is designed so that the mean is 100 and the standard deviation is 25 for the... (answered by rothauserc)