A study suggests that airlines have increased restrictions on cheap fares by raising overnight requirements. This forces business travelers to pay more for their flights, since they tend to need the most flexibility and want to be home on weekends. A year ago, the overnight stay requirements were as follows: One night Two nights Three nights Saturday night 37% 17% 28% 18% A recent sample of 644 flights found the following restrictions: One night Two nights Three nights Saturday night 117 137 298 92 a. Choose the appropriate alternative hypotheses to test whether the proportions differ from those cited in the study. All population proportions differ from their hypothesized values. At least one of the population proportions differs from its hypothesized value. b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and your final answer to 3 decimal places.) b-2. Find the p-value. p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 c. At the 5% significance level, what is the conclusion to the hypothesis test? Reject H0; the proportions differ from the cited study. Reject H0; the proportions do not differ from the cited study. Do not reject H0; the proportions differ from the cited study. Do not reject H0; the proportions do not differ from the cited study.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A study suggests that airlines have increased restrictions on cheap fares by raising overnight requirements. This forces business travelers to pay more for their flights, since they tend to need the most flexibility and want to be home on weekends. A year ago, the overnight stay requirements were as follows:

One night	Two nights	Three nights	Saturday night
37%	17%	28%	18%

A recent sample of 644 flights found the following restrictions:

One night	Two nights	Three nights	Saturday night
117	137	298	92

a. Choose the appropriate alternative hypotheses to test whether the proportions differ from those cited in the study.

All population proportions differ from their hypothesized values.
At least one of the population proportions differs from its hypothesized value.

b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and your final answer to 3 decimal places.)

b-2. Find the p-value.