Question

An airline promotion to business travelers is based on the assumption that 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) A survey that found that 356 of 544 business travelers use a laptop computer on overnight business trips. Based on this survey, what is the sample proportion of business travelers who use a laptop computer on overnight business trips?

(c) What is the test statistic? What is the p-value?

(d) Use α = 0.05.

What is your conclusion?

Answer 1

(a)

p=2/3 =0.67

hypotheses

H0: p = 0.67

H1: p > 0.67

(b)

= 356/544 = 0.6544

(c)

σp = sqrt(.67*0.33/544)
σp = 0.02016

Z = ( - 0.67)/σp = (0.6544 - 0.67) / 0.02016 = - 0.7738

So, the p-value = P(Z < - 0.7738) = 0.2195 (from standard normal table)

d)
Since the p-value is larger than 0.05, we do not reject Ho.

So we can conclude that two-thirds of business travelers use a laptop computer on overnight business trips.