A random sample of individuals who drive to work alone in a large metropolitan a

Question

A random sample of individuals who drive to work alone in a large metropolitan area was obtained. Each individual was categorized with respect to size of car and commuting distance. Do the following data suggest that commuting distance and size of car are related in the population sampled? Commuting Distance 20 km Subcompact 6 Compact-18 Mid-size 20 Full-size 28 35 43 17 20 17 34 8 13 What is the null hypothesis for the test? O There is no association between car size and commuting distance There is an association between car size and commuting distance For a given car size, there is no difference between commuting distances [1 pt (s)] Submit Answer Tries 0/1 What is the expected count for subcompact cars commuting less than 10 km? [3 pt(s)] Submit Answer Tries 0/3 Compute the value of the test statistic. [3 pt(s)] Submit Answer Tries 0/3 How many degrees of freedom are there [1 pt(s)] Submit Answer Tries 0/1 Which interval in the table contains the p-value for the test? p-value 0.005 0.005

Explanation / Answer

a) The Null hypothesis would be there is no association between car size and commuting distance

b) Expected count for subcompact cars less than 10 km = (54*47/249) = 10.19

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