To test if TV preference and gender are independent, which hypothesis test would be used?    a. 2 Prop Z Test   b. Chi-square test   c. ! Sample T test   d. Linear Regression Test

The table to the right includes results from polygraph experiments. In each case, it was known if the subject lied or not, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest Polygraph indicated that polygraphs are effective in distinguishing between that subject did not lie truths and lies? Did the subject actually lie? No (did not lie) Yes (lied) Polygraph indicated that subject lied 12 42 31 8 State the null and the alternative hypotheses. Choose the correct answer below. O A. Ho: At least one of the values is different from the others. H: All values in the table are equal. O B. Ho: The row and column variables are independent. Ha: The row and column variables are dependent. O C. Ho: The row and column variables are dependent. H: The row and column variables are independent. O D. Ho: All values in the table are equal. H: At least…

Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players, does it appear that baseball teams are effective in using this advantage? Click the icon to view the data table. Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: Basketball games are more likely to win at home than any other sport. H₁: Basketball games are not more likely to win at home than any other sport. B. Ho: Basketball games are not more likely to win at home than any other sport. H₁: Basketball games are more likely to win at home than any other sport. O C. Ho: The home/visitor win is independent of the sport. H₁: The home/visitor win is not independent of the sport. D. Ho: The…

a. Why the ANOVA F-test for model utility is called the "global" test? b. Why would it make sense to call the hypothesis test as a marginal or partial test? c. If you are given the ANOVA table, will you be able to calculate R2 and R2a? d. Why R2a≤R2?