Question 2: The Journal of the American Medical Associationreported in 2002 on a study of 1,100 airline passengers who flewfrom San Francisco to Denver. 515 of these passengers traveled onplanes where air was re-circulated, the remaining 585 traveled onplanes that did not recirculate air. Of those that did travel onplanes where the air was recirculated, 110 reported post-flightrespiratory problems. Of those on planes that did not recirculatethe air, 108 reported post-flight respiratory problems.
(a) Is there a difference in the proportion of passengers whoexperience post-flight respiratory problems between planes whore-circulate air and planes that do not? State the statisticalhypotheses.
(b) Carry out the statistical test at a level of significance of5%.
(c) What can you conclude?
(d) Interpret the meaning of the P -value you computed, in thecontext of the data.
Should you reject the null hypothesis in part (a), compute the 95%confidence interval for the difference in the proportion ofpassengers experiencing post-flight respiratory problems in planesthat recirculate air and planes that do not, pReCirculate ?pNoRecirculate.
