The upper limit of the 90% confidence interval for the population proportion p,given that n = 100; and = 0.20 is 0.2658.

Question

The upper limit of the 90% confidence interval for the population proportion p,given that n = 100; and  = 0.20 is 0.2658.

Quizplus · Accepted Answer

This is true. The upper limit of a 90% confidence interval for the population proportion can be calculated using the formula: 
Upper limit = point estimate + (z-score for 90% confidence level) * standard error 
where the point estimate is the sample proportion, the z-score for 90% confidence level is typically 1.645, and the standard error is calculated as the square root of (point estimate * (1 - point estimate) / n). 
Plugging in the given values, we get: 
0.2658 = 0.20 + 1.645 * sqrt(0.20 * 0.80 / 100) 
Simplifying: 
0.0658 = 0.02148 
Therefore, the statement is true.

The Upper Limit of the 90% Confidence Interval for the Population