In an early study,researchers at an Ivy University found that 33% of the freshmen had received at least one A in their first semester.Administrators are concerned that grade inflation has caused this percentage to increase.In a more recent study,of a random sample of 500 freshmen,185 had at least one A in their first semester.Calculate the appropriate test statistic to test the hypotheses.
A)1.853
B)1.157
C)1.902
D)2.710
E)-1.902

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula for a proportion: z = (p̂ - p0) / √(p0(1-p0)/n), where p̂ = 185/500 = 0.37, p0 = 0.33, and n = 500. Plugging in these values gives z ≈ 1.902.

In an Early Study,researchers at an Ivy University Found That