Question

Suppose that each of 200 students in a class selects a sample of size 500, and constructs a 95% confidence interval for the population proportion based on their sample. About how many of the confidence intervals are expected to contain the true value of the population proportion?

Answer 1

190

Explanation:

Given : sample of size (n) = 500

Number of samples = 200

Confidence interval (CI) = 95% = 0.95

Now we have to calculate the number of confidence intervals are expected to contain the true value of the population proportion.

= 95% of 200

= 0.95 × 200

= 190

Therefore, expected samples are 190.