Question

Cramped quarters" is a common complaint by airline travelers. A random sample of 150 business travelers and 150 leisure travelers were asked where they would "most like more space." The resulting answers are summarized as follows. Does this sample information present sufficient evidence to conclude that the business traveler and the leisure traveler differ in where they would most like additional space? Use α = .05. Place Business Leisure Overhead space on plane 11 8 Hotel room 25 46 Leg room on plane 81 59 Rental car size 8 16 Other 25 21 (a) Find the test statistic. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer bounds exactly.) < p < (b) State the appropriate conclusion. Reject the null hypothesis, there is significant evidence that the business and leisure traveler differs in where they would most like additional space. Reject the null hypothesis, there is not significant evidence that the business and leisure traveler differs in where they would most like additional space. Fail to reject the null hypothesis, there is significant evidence that the business and leisure traveler differs in where they would most like additional space. Fail to reject the null hypothesis, there is not significant evidence that the business and leisure traveler differs in where they would most like additional space.

Answer 1

(a) (i) χ2 = 10.27 (ii) p- value = 0.0164

(b) Reject the null hypothesis, there is significant evidence that the business and leisure traveler differ in where they would most like additional space