20. Each box of a certain cereal contains one of four game cards. A random sample of 100 cereal boxes is selected, and the number of each type of game card is counted. This table lists the actual and expected frequencies for each card.
Which of l-ill are valid conclusions?
Card
A
B
C D
Actual Frequency
25 40
3
32
Expected Frequency
30 50
2
18
I. The test statistic for a chi-square goodness-of-fit test is 14.22.
II. The degrees of freedom for this chi-square test is 3.
III. The chi-square test shows that the observed frequencies are significantly different from the expected frequencies.
AI
6 I and II
I, II and III I and III © A chi-square test cannot be
performed because conditions are not met.