Question

Assume that a sample is used to estimate a population proportion p. Find the 90% confidence interval for a sample of size 230 with 12% successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.

Answer #1

Given that the sample size is N = 230 and the sample proportion is p^ = 0.12 so, the confidence interval is calculated as:

Where Zc is the Z-critical value at given confidence interval which is calculated using excel formula for normal distribution. The formula used is =NORM.S.INV(0.95) the Zc computed as 1.645

Now the confidence interval is calculated as:

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