Find the P-value for the indicated hypothesis test. 1) An airline claims that th

Question

Find the P-value for the indicated hypothesis test.
1) An airline claims that the no-show rate for passengers booked on its flights is less than 6%. Of 380 randomly selected reservations, 18 were no-shows. Find the P-value for a test of the airline's claim

2) In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 10 modified components resulted in the following times (in hours) between failures. 518     548     561     523     536

                                                                                                                                                                 499     538     557     528     563

At the 0.05 significance level, test the claim that for the modified components, the mean time between failures is greater than 520 hours. Use the P-value method of testing hypotheses.

Explanation / Answer

question1

Null Hypothesis: P = 0.06   (Proportion of no-show rate for passengers booked on its flights )

Alt Hypothesis: P < 0.06 (Proportion of no-show rate for passengers booked on its flights)

Sample Proportion p hat = 18/380

                                       = 0.04736

N = 380

Test statistic z =   

                        =   -1.0368

p value from z score < -1.0368 =0.1499      ( check standard normal table)

   significance level not given in problem.

general scenario ,if p< alpha( reject null hypothesis)

                                  otherwise failed to reject null hypothesis

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