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An airline promotion to business travelers is based on the assumption that no mo

ID: 3220412 • Letter: A

Question

An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.

a. State the hypotheses that can be used to test the assumption.
H0: p Selectgreater than or equal to .6667greater than .6667less than or equal to .6667less than .6667equal to .6667not equal to .6667
Ha: p Selectgreater than or equal to .6667greater than .6667less than or equal to .6667less than .6667equal to .6667not equal to .6667

b. What is the sample proportion from an American Express-sponsored survey that found 365 of 543 business travelers use a laptop computer on overnight business trips (to 2 decimals)?

c. What is the p-value (to 4 decimals)?

d. Using = .05, can you conclude that the proportion of business travelers who use a laptop computer on overnight business trips is greater than two-thirds?
SelectYesNo

Explanation / Answer

Ho: p<=0.6667

Ha:p>0.6667

b) here std error =(p(1-p)/n)1/2 =0.0286

sample proportion phat=365/543 =0.6722

c) for above test stat z=(Phat-p)/std error =0.1931

for above p value =0.4234

d) as p vlaue is greater then 0.05 level ; No

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