An airport official wants to prove that the proportion of delayed flights for Ai

Question

An airport official wants to prove that the proportion of delayed flights for Airline A (denoted as p1) is less than the proportion of delayed flights for Airline B (denoted as p2). Random samples for both airlines after a storm showed that 51 out of 200 flights for Airline A were delayed, while 60 out of 200 of Airline B's flights were delayed. If the null hypothesis is p1 – p2 = 0, what is (are) the critical value(s) at .05 significance level?

Explanation / Answer

H0 : p1 - p2 = 0

Ha : p1 - p2 < 0

Since this is a left tailed test, The critical value ,z = -1.645

Option-C) -1.645

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