BriteScreen, a manufacturer of 19-inch LCD computer screens, requires that on average 99.9 percent of all LCDs

Question:

BriteScreen, a manufacturer of 19-inch LCD computer screens, requires that on average 99.9 percent of all LCDs conform to its quality standard. In a day's production of 2,000 units, 4 are defective.
(a) Assuming this is a random sample, is the standard being met, using the 10 percent level of significance? Hint: Use Excel to find the binomial probability P(X ≥ 4 | n = 2000, π = .001) = 1 – P(X ≤ 3 | n = 2000, = .001). Alternatively, use MINITAB.
(b) Show that normality of the sample proportion p should not be assumed.