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Trolli Gummy Worms: A Lie in Bright Colors or Simple Candy?

By: Gary Watson, Matt Wendell, and Chase Davis

Of all the candies in the world, Trolli’s gummy worms are among the most popular. Their sweet and sour taste, aroma, and texture have granted them a spot in many parties and events. However, there is still an age old question that has vexed gummy worm lovers everywhere. Are there equal amounts of each color of gummy worms?

To test this claim my colleagues and I decided to perform a Chi-Squared Test. At the five percent level of significance we made the claim that the colors of Trolli brand gummy worms would be evenly distributed.This claim was the null hypothesis. The alternative hypothesis to that was, of coarse, that the colors of the gummy worms were not evenly distributed.

In conclusion we found that there is not enough evidence to claim that the color distribution of gummy worms is not even. So all gummy worm fans out there, rest easy knowing that you are not being cheated out of your favorite color.

We found that out of four bags there were 157 red/blue worms, 149 orange/green worms, and 127 red/yellow worms. The expected values for each color was around 144 a piece. This meant that our Chi-Squared Test statistic was 3.344, which was outside of the rejection region: Chi-Squared being greater than 5.991. Consequently, we decided that at the five percent level of significance we could not reject the null hypothesis.

In order to perform our test, our project's senior financial officer, Chase Davis, provided the fiscal advances to fund our endeavor, in the form of physical capital. We used this money to purchase four bags of Trolli brand gummy worms. Then we proceeded to vigorously sort the contents of each bag into three piles representing the various colors of gummy worms. Finally, we counted up all of the gummy worms and recorded the data we found. Then we performed a Chi-Squared Test to find out whether or not to reject the null hypothesis.

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