Assignment Instructions

1. Theoretical probabilities for 0, 1, 2, 3, 4 heads occurring on four tosses of a fair coin are, respectively, 1/16, 4/16, 6/16, 4/16, 1/16.Four coins are tossed 480times. 0, 1, 2, 3, 4 heads occurred, respectively, 45, 117, 152, 126, 40times. Use these empirical data for Questions on this task. Specify the null and alternative hypotheses for the chi-square goodness-of-fit test.

2. Calculate theoretical expectations for the five categories (cells).

3. For = 0.05, specify the critical region.

4. Calculate the chi-square test statistic for the goodness-of-fit test. 5. Find the P-value and make a decision about H_o.