Question

In setting up a confidence interval on the difference between two proportions you find your point estimate to be 0.09 and sampling error to be 0.03. Determine your 95% confidence interval.A. (0.075, 0.105)B. (0.03, 0.15)C. Cannot determine. Not enough information.D. (0.06, 0.12)

Answer 1

Answer: (0.03, 0.15)

Explanation:

Answer 2

The point estimate of the difference between two proportions is 0.09, and the sampling error is 0.03. To determine the confidence interval, we need to use the formula:

point estimate ± (critical value) × (standard error)

Since the confidence level is 95%, the critical value is 1.96 (using a standard normal distribution table). The standard error can be calculated using the formula:

√[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and p2 are the sample proportions and n1 and n2 are the sample sizes. Since the sample sizes are not given, we cannot calculate the standard error. Therefore, the answer is:

C. Cannot determine. Not enough information.

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Explanation: