showed that 64 were on time. An SRS of 100 flights by Happy Airlines showed that 80 were on time. Let pS be the proportion of on-time flights for all Speedy Airline flights, and let pH be the proportion of all on-time flights for all Happy Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines? To determine this, you test the hypotheses H0 : pS – pH 0, Ha : pS – pH 0. The P-value of your test is 0.0117. Which of the following is an appropriate interpretation of the P-value? a. If the on-time
An SRS of 100 flights by Speedy Airlines showed that 64 were on time. An SRS of 100 flights by Happy Airlines
showed that 80 were on time. Let pS be the proportion of on-time flights for all Speedy Airline flights, and let pH be
the proportion of all on-time flights for all Happy Airlines flights. Is there evidence of a difference in the on-time
rate for the two airlines? To determine this, you test the hypotheses H0 : pS – pH 0, Ha : pS – pH 0. The P-value
of your test is 0.0117. Which of the following is an appropriate interpretation of the P-value?
a. If the on-time rates for the two airlines are equal, there is a 0.0117 probability of getting
samples with a difference as far or farther from zero as these samples.
b. If the on-time rates for the two airlines are not equal, the probability of getting samples
with a difference as far or farther from zero as these samples is 0.9883.
c. The probability of making a Type I error is 0.0117.
d. The probability of making a Type II error is 0.0117.
e. The probability that H0 is true is 0.0117.
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