In: Statistics and Probability
Car manufacturers are interested in whether there is a relationship between the size of car an individual drives and the number of people in the driver's family (that is, whether car size and family size are independent). To test this, suppose that 804 car owners were randomly surveyed with the following results. Conduct a test for independence at the 5% level.
Family Size | Sub & Compact | Mid-size | Full-size | Van & Truck |
---|---|---|---|---|
1 | 20 | 36 | 41 | 35 |
2 | 20 | 49 | 71 | 80 |
3 - 4 | 19 | 51 | 100 | 89 |
5+ | 21 | 31 | 71 | 70 |
1) What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.)
2) What is the test statistic? (Round your answer to two decimal places.)
3) What is the p-value? (Round your answer to four decimal places.)
4) (i) Alpha (Enter an exact number as an integer, fraction, or
decimal.)
α =