In a test of the independence of two variables, one of the variables has two possible categories and the other has three possible categories. What will be the critical value of chi-square if the test is to be carried out at the 0.025 level? At the 0.05 level?

2. A research organization has collected the following data on household size and telephone ownership for 200 US households. At the 0.05 level, are the two variables independent? Based on the chi-square table, what is the accurate statement that can be made about the p-value for the test?

Telephones Owned

<1 2 >3

Persons < 2 49 18 13 80

in the 3-4 40 27 21 88

> 5 11 13 8 32

100 58 42 200