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.

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