Of 200 youthful gamers (under 18) who tried the new Z-Box-Plus game, 160 rated it "excellent," compared with only 144 of 200 adult gamers (18 or over). The test statistic to test the two proportions for equality would be:
A)1.645
B)1.960
C)1.873
D)1.448

Question

Quizplus · Accepted Answer

The test statistic for testing the equality of two proportions is given by:z = (p1 - p2) / sqrt(p(1-p)(1/n1 + 1/n2))where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and p is the pooled proportion.In this case, p1 = 160/200 = 0.8, p2 = 144/200 = 0.72, n1 = 200, n2 = 200, and p = (160 + 144) / (200 + 200) = 0.76.Plugging these values into the formula, we get:z = (0.8 - 0.72) / sqrt(0.76(1-0.76)(1/200 + 1/200)) = 1.873Therefore, the correct answer is C.

Of 200 Youthful Gamers (Under 18) Who Tried the New