Question

At the competition, the All and mathematicians must solve as many problems as they can in under an hour. The Ads successfully solve .12 of 35 problems, and the mathematicians successfully solve .25 of 26 problems provided. The Ads were beaten, but the tech company wonders if the difference was statistically significant. Assuming the samples are independent, what is the 95% confidence interval for the true difference (All - mathematicians) in proportions between all such Als and mathematicians?

a) (-1.152, -1.108)

b) (-.332, 0.072)

c) (-0.867, 0.607)

d) (-0.152, -0.108)

Answer 1

7 = 0.12 0.25. Solutions Given that, u = 35 p - 26 p22 * At 95% confidence tutesvol is. a. (- 0.95 0.05 0.05 0.025 La 1.96 Using 2-table P. (1-p? 2 PA (1-P22 * Maagia of esaar ZA + 2 - 1.96 0.12C1-0.12) 0.25 (1-0.252 26 35 0.198 * The point estimate 0.12 - 0.25 = -0.13 * The 95% Confidence interval P. Pe id på te (-0.13) - 0.198 < P, P2 < 6o.13) + 0.198 (-0.332, 0.072