TABLE 12-7 The director of transportation of a large company is interested in th
ID: 3223223 • Letter: T
Question
TABLE 12-7 The director of transportation of a large company is interested in the usage of her van pool. She her routes to be into and She is interested in learning if in the proportion of males females who use the local and there is a difference the following: routes. She takes a sample ofa day's riders and finds Total Female Male 71 27 Local 58 25 Non-Local Total 60 69 129 She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05. 1. (6)Referring to Table 12-7, the test will involve degree(s) of freedom ANSWER: TYPE: FI DIFFICULTY: Easy KEYWORDS: Chi-square test for difference in proportions, degrees of freedom 2. (6)Referring to Table 12-7, the overall or average proportion of local riders is ANSWER: TYPE: FI DIFFICULTY: Easy KEYWORDS: Chi-square test for difference in proportions, propertiesExplanation / Answer
Male
Female
Total
Local
71*60/129=33.02
71*69/129=37.98
71
Non-local
58*60/129=26.98
58*69/129=31.02
58
Total
60
69
129
So test statistic =SUM[(Oi-Ei)2/Ei]
=(27-33.02)2/33.02+(33-26.98)2/26.98+(44-37.98)2/37.98+(25-31.02)2/31.02
=4.56
Male
Female
Total
Local
71*60/129=33.02
71*69/129=37.98
71
Non-local
58*60/129=26.98
58*69/129=31.02
58
Total
60
69
129
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