SOLUTION: Please help me solve the following problem: A survey of 1000 NUST students find that 48% own a personal computer. Construct a 95% confidence interval on the true proportion of NUST

Question 1089689: Please help me solve the following problem: A survey of 1000 NUST students find that 48% own a personal computer. Construct a 95% confidence interval on the true proportion of NUST students who own a personal computer.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Our sample size of 1000 is sufficiently large > 30 that we can use the normal distribution
:
sample proportion(p) = 0.48
:
standard error(SE) = square root(0.48 * (1-0.48) / 1000) = 0.0158
:
alpha(a) = 1 - (95/100) = 0.05
:
critical probability(p*) = 1 - (a/2) = 0.975
:
critical value(CV) is the z-value associated with p* which is 1.96
:
margin of error(ME) = CV * SE = 1.96 * 0.0158 = 0.031
:
**************************************************************
95% confidence interval is 0.48 + or - 0.031 or (0.449, 0.511)
**************************************************************
:

RELATED QUESTIONS
Please help me solve the following problem: Weights of NUST male students have a... (answered by Fombitz)

A survey of 1024 households found that 48% of the households own a computer. Identify the (answered by jim_thompson5910)

Please help me solve this problem. A survey was made of the courses taken by 80 students (answered by richwmiller)

A total of 1200 students attend a top high school. The ratio of teachers to students is... (answered by math-vortex)

A survey of 568 students found that 367 students own used textbooks, 340 students own new (answered by richwmiller)

Respond to the following to describe a "real world" scenario where a researcher might... (answered by stanbon)

I need help for my grandson and me on some homework he came home with yesterday. It is... (answered by kevwill)

There are a total of 1200 students at a school. The ratio of teacher to students 1:30.... (answered by addingup,MathTherapy)

Mrs. Bolloʹs second grade class of thirty students conducted a pet ownership survey. (answered by josmiceli,TeachMath)