A company claims that all five possible Mario character prizes are distributed equally across boxes of as follows: 20% chance of a Mario prize, 10% chance of a prize, 30% chance of a prize, 15% chance of a Yoshi prize, 25% chance of a prize. A statistics student purchases a random sample of 40 boxes of cereal made by the company, and uses the sample distribution of prizes to conduct a goodness-of-fit-test. Which of the following would be an appropriate null and alternative hypothesis? a. H_o: The proportion of prizes that are Princess is 0.30 H_a: The proportion of prizes that are Princess is not equal to 0.30. b. H_o: The distribution of prizes in the boxes is 0.20 Mario, 0.30 Princess, 0.15 Yoshi, and 0.25 Bowser. H_a: The distribution of prizes in the boxes is not 0.20 Mario, 0.10 Luigi. 0.30 Princess, 0.15 Yoshi, and 0.25 Bowser. c. H_o: The proportion of prizes that are Princess is 0.30. H_a: The proportion of prizes that are Princess is less than 0.30. d. H_o: The distribution of prizes in the boxes is 0.20 Mario, 0.30 Princess. 0.15 Yoshi, and 0.25 Bowser H_a: None of the proportions in the distribution of prizes equals the stated proportions (Mario notequalto 0.20, Luigi notequalto 0.10. Princess notequalto 030, Yoshi notequalto 0.15, and Bowser notequalto 0.25 lambda