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

ID: 3249221 • Letter: A

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, Ai, p2 = 0, what is (are) the critical value(s) at .05 significance level? A. z = Ai 1.96 and +1.96 B. z = 1.645 C. 2 = -1.645 D. None of the above

Explanation / Answer

for above is a left taled test as claim is p1-p2<0

hence critical value at 0.05 level is option C z=-1.645

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