Skittles: The popular Skittles candy comes in 5 colors. According to the Skittle

Question

Skittles: The popular Skittles candy comes in 5 colors. According to the Skittles website, the colors are evenly distributed in the population of Skittle candies. So each color makes up 20% of the population. Suppose that we buy 10 small bags of Skittles. For 5 of the bags, we determine the percentage of green Skittles in each bag. For the other 5 bags, we determine the percentage of orange Skittles in each bag. Suppose that each bag contains 40 candies. We define the difference in sample proportions as "green" minus "orange. Which sequence of sample differences is the most likely? A. 0,0, 0, 0, 0 B. O -0.2, 0.225, 0.175, 0.25, -0.225 C. O o, o.075,-0.125, 0.1, -o.05

Explanation / Answer

A option

Independent random samples of size and are drawn from two populations of dichotomous variables where the proportions of observations with the character of interest in the two populations are and , respectively. The distribution of thedifference between two sample proportions, , is approximately normal.

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