It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the z-statistic?
A) 0.025
B) 0.278
C) -1.65
D) 1.67
E) None of these statements are true

Question

Quizplus · Accepted Answer

The z-statistic is calculated using the formula: z = (p̂ - p) / √(p(1-p)/n), where p̂ is the sample proportion (50/400 = 0.125), p is the population proportion (0.10), and n is the sample size (400). Plugging in these values gives z = (0.125 - 0.10) / √(0.10*0.90/400) = 1.67.

It Is Claimed That in a Bushel of Peaches Less