Question

Some commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1104 artine passengers, among which some traveled on airplanes that recirculated and others traveled on planes that did not recirculate air of the 519 passengers who flew on planes that did not recirculate air, 108 reported post-fight respiratory symptoms, while 112 of the 585 passengers on planes that did recirculate air reported such symptoms. Is there sufficient evidence to conclude that the proportion of passengers with post-fight respiratory symptoms differs for places that do and do not recirculate ar? Test the appropriate hypotheses using a = 0.05. You may assume that it is reasonable to regard these two samples as being independently selected and as representative of the two populations of interest (Use a statistical computer package to calculate the value. Use Po not recirculate - Pa recirculate. Round your test statistic to two decimal places and your value to four decimal places.) 0.00 P0.3756 X Conclusion: Yes, there is sufficient evidence No, there is not sufficient evidence

just need the p value. thanks

Answer 1

$H_{0}:p_1=p_2$

$H_{1}:p_1\neq p_2$

Two tailed test

$z = \boldsymbol{0.69}$

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P - value = 2P(Z > 0.69

$= 2*NORMSDIST(-0.69) = 2*0.2451 =\boldsymbol{ 0.4902}$