Car manufacturers are interested in whether there is arelationship between the size of car an individual drives and thenumber of people in the driver's family (that is, whether car sizeand family size are independent). To test this, suppose that 797car 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 | 19 | 35 | 41 | 34 |
| 2 | 21 | 49 | 69 | 81 |
| 3 -4 | 21 | 49 | 101 | 89 |
| 5+ | 19 | 29 | 71 | 69 |
A. What are the degrees of freedom? (Enter an exact number as aninteger, fraction, or decimal.)
B. State the distribution to use for the test.
C. What is the test statistic? (Round your answer to two decimalplaces.)
D. What is the p-value? (Round your answer to fourdecimal places.)
E. Alpha (Enter an exact number as an integer, fraction, ordecimal.)
α =
