STATS 250 Final Exam Solutions (Complete Rated 100%)

STATS 250 Final Exam Solutions (Complete Rated 100%) What would be the appropriate chi-square test for assessing whether the distribution of the movie genre preferences is the same among the five age categories of the customers? [2] Circle one: Goodness-of-fit Test of Independence Test of Homogeneity d. From R output, the observed test statistic is 29.0448. Calculate the contribution to this test statistic from the 18-24 year old customers who would rent a comedy. [3] Using the cross-product rule would expect (65)(110)/252 = 28. years old customers to prefer comedy − − = = = 2 2 ( ) (38 28.373) 92.6791 3.2664 28.373 28.373 O E E Final Answer: ______3.2664 ________ e. If the distribution of the movie genre preferences is the same among the five age categories of the customers, what value would you expect for the test statistic? [1] The X2 test statistic will have a chi-squared distribution with 8 df under the null hypothesis, and thus the expected value or mean is equal to the df = 8. Final Answer: ___________ 8 ____________ f. At a 5% significance level, there (circle one) DOES DOES NOT appear to be a difference in the distribution of the movie genre preferences among the five age categories.