"Diversification Bias: Explaining The Discrepancy in Variety Seeking Between Combined and Separated Choices" by Daniel Read and George Loewenstein of Carnegie Mellon University, described an experiment designed to test if trick-ortreaters' choice of two same or different candy bars depended on whether the candy bars were offered simultaneously at one house or sequentially at two houses. All 13 of 13 children offered to "choose whichever two candy bars you like"34 from stacks of Three Musketeers and Milky Ways at one house chose two kinds (one of each). Only 12 of 25 children offered to choose a single candy bar from Three Musketeers and Milky Ways sequentially at two neighboring houses chose two kinds.
a. Use this information to set up two-way tables of observed and expected counts (rounded to the nearest hundredth).
b. Calculate the chi-square statistic.
c. Assess the P-value as being small or not.
d. State whether type of choice (simultaneous or sequential) had a significant impact on the children's decision to take two different kinds or both the same kind of candy bar.