1) A contingency table containing observed values has four rows and five columns.The value of the chi-square statistic for testing independence is 22.87.Is H0 rejected at the alpha = 0.05 level?

Yes or No?

2) A goodness-of fit test is performed to test the null hypothesis that each of the six faces on a die has probability 1/6 of coming up.The null hypothesis is rejected.

Select all that apply:

a) None of the die faces has a probability equal to 1/6.

b) At least one of the six faces has a probability less than 1/6.

c) Some or all of the six faces have a probability not equal to 1/6.

d) All the die faces have a probability less than or equal to 1/6.