An airline promotion to business travelers is based on the assumption that no mo
ID: 2933236 • 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.
b.What is the sample proportion from an American Express-sponsored survey that found 359 of 535 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?
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.66666667
HA : p > 0.66666667
Hypothesis test results:
Hence,
a) Hypotheses:
H0 : p = 2/3
HA : p > 2/3
b) Sample proportion = 0.67
c) p - Value = 0.4153
d) No, there is not enough evidence to conclude that the proportion of business travelers who use a laptop computer on overnight business trips is greater than two-thirds.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 359 535 0.67102804 0.020380595 0.21399624 0.4153Related Questions
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