A simple random sample of 85 students is taken from a large university on the West Coast to estimate the proportion of students whose parents bought a car for them when they left for college. When interviewed, 51 students in the sample responded that their parents bought them a car. What is a 95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college

95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college

(0.4958 , 0.7041)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 85

The sample proportion

95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college

Step(ii):-

Given that the level of significance

α = 0.05

Z₀.₀₅ = 1.96

(0.6 - 0.104138 , 0.6 +0.104138)

(0.4958 , 0.7041)

Final -

95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college

(0.4958 , 0.7041)