A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked (not broken, just cracked). In 3 cartons (12 eggs each carton), 2 eggs are cracked.
(a) At the .10 level of significance, does this prove that the standard is exceeded?
(b) Calculate a p-value for the observed sample result. Use Excel to calculate the binomial probability P(X ≥ 2 | n = 36, π = .02) = 1 – P(X ≤ 1 | n = 36, π = .02).