Some commercial airplanes recirculate approximately 50% of the cabin air in orde

Question

Some commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1102 airline passengers, among which some traveled on airplanes that recirculated air and others traveled on planes that did not recirculate air. Of the 517 passengers who flew on planes that did not recirculate air, 106 reported post-flight respiratory symptoms, while 113 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-flight respiratory symptoms differs for planes that do and do not recirculate air? Test the appropriate hypotheses using = 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 P-value. Use pdo not recirculate pdo recirculate. Round your test statistic to two decimal places and your P-value to four decimal places.)

Conclusion:

Yes, there is sufficient evidence.No, there is not sufficient evidence.   

Explanation / Answer

from given information

p1^=106/517 = 0.205029014

p2^=113/585 = 0.193162393

p=(106+113)/1102= 0.198729583

n1=517 n2 =585

using formula

Test Statistic, z: 0.4927 = 0.49
Critical z: ±1.9600
P-Value: 0.6223

p value greater than significance level

failed to reject null hypothesis

No, there is not sufficient evidence.

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