Ap stats 8.01 5 questions, please explain.

Question 1 (4 points) (08.01 LC) A study is to be conducted to help determine whether a spinner with five sections is fair. How many degrees of freedom are there for a chi- square goodness-of-fit test? (4 points) O a Three Ob Four O c Five Od Six O e SevenQuestion 2 (4 points) (08.01 MC) General Mills claims the multicolor marshmallow shapes in Lucky Charms@ are of equal proportion. To test this claim, researchers took a random sample of 240 Lucky Charms@ marshmallows and counted the number of each shape. The results are shown. Shape Hearts Stars Horseshoes Clovers Blue Moons Rainbows Balloons Hourglasses Count 22 31 28 25 35 33 37 29 What is an appropriate null hypothesis to test whether the shapes of Lucky Charms@ marshmallows are of equal proportion? (4 points) O a Ho: P1 = P2 = P3 = P4 = Ps = p6 = P7 = pg = 0.125, where p is the proportion of each type of marshmallow Ob Ho: my = n2 = ng = n4 = ns = no = ny = ng =30, where n is the number of marshmallows from the sample of each type O c Ho: P1 = P2 = P3 = P4 = Ps = P6 = P7 = pg = 0.125, where p, is the true proportion of each marshmallow Od Ho: H = 30, where u is the mean number of marshmallows of each type O e Ho: p = 0.125, where p is the proportion of each type of marshmallowQuestion 3114 points} [03.01 MC] A x2 goodnessoft test is performed on a random sample of a bag of 3G Skittlesl to determine whether the proportion of each flavor (strawberry. orange. lemoni lime; and grape} is equal to the claimed amount {211% of each flavor}. The 3:2 statistic is determined to be 10.20. IIl'llhat is the pvalue for this test? [4 points] 0 a 0.001 c p