SOLUTION: Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval for a sample of size 82 with 54 successes. Answer as a tri-linear inequality

Question 1182807: Assume that a sample is used to estimate a population proportion p.
Find the 95% confidence interval for a sample of size 82 with 54 successes.
Answer as a tri-linear inequality using decimals (not percents) accurate to 3 decimal places.
_______ < p < _________
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
p hat=54/82=0.6585
half-interval is z(0.975)*sqrt(p*(1-p)/n)
=1.96*sqrt(0.6585*0.3415/82)
=0.1026 or 0.103
The interval is (0.556, 0.761)
or 0.556 < p < 0.761
RELATED QUESTIONS
Assume that a sample is used to estimate a population proportion p. Find the 95%... (answered by Boreal)

Assume that a sample is used to estimate a population proportion p. Find the 95%... (answered by ewatrrr)

Assume that a sample is used to estimate a population proportion p. Find the 95%... (answered by Theo)

Assume that a sample is used to estimate a population proportion p. Find the 90%... (answered by math_tutor2020)

Assume that a sample is used to estimate a population proportion p. Find the 99%... (answered by Boreal)

Assume that a sample is used to estimate a population proportion p. Find the 90%... (answered by Theo)

A sample of 200 customers at a supermarket showed that 28 used a debit card to pay for... (answered by ewatrrr)

Assume that a sample is used to estimate a population proportion p. Find the 99%... (answered by Boreal)