Question

The kingston review (kr) is testing a new gmat question. the kr wants to determine what proportion of test-takers will answer the question correctly, in order to assess its difficulty. in a random sample of 144 test-takers, 75% answered the question correctly. what is the 95% confidence interval for the proportion of test-takers answering the question correctly?

Answer 1

[67.9 %, 82.1 %] is the 95% confidence interval for the proportion of test-takers answering the question correctly. So we have [67.9 %, 82.1 %] In a random sample of 144 test-takers with 75% answered the question correctly. So the answer in this question is [67.9 %, 82.1 %].