A political scientist wants to prove that a candidate is currently carrying more than 60% of the vote in the riding. She has her assistants randomly sample 200 eligible voters in the riding by telephone and only 90 declare that they support her candidate. The test statistic for this problem is ___.
A) -4.33
B) 4.33
C) 0.45
D) -.31
E) 2.33

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula for a proportion: (p̂ - p0) / √(p0(1-p0)/n), where p̂ is the sample proportion (90/200 = 0.45), p0 is the hypothesized proportion (0.60), and n is the sample size (200). Plugging in these values gives a test statistic of approximately -4.33.

A Political Scientist Wants to Prove That a Candidate Is