​For my Math 1040 class we had a signature assignment called the "Skittle's Project." Throughout the semester for this project, there were various phases we investigated in the difference in probabilities of the differing color amount of each skittle in everyone's bag as a class. For my final assignment, I took the information on the amount and seperate color groups of Skittles within my bag and compared that to another student's bag from the class with the data that was provided. The math calculations we used for this assignment was to create a contingency table, use the calculation app 'Geogebra' to look at our T-Statistic as well as finding and comparing the P-Value versus the level of significance at 0.05. I also used mathematical equations like n1p^, n1(1−p^), n2p^, and n2(1−p^)  to see if the samples are large enough and independent from each other. Below are a majority of the steps taken for our assignment.

• • 1.Complete the contingency table below by adding the color counts for the bag of Skittles you bought in the top row and computing the missing totals. 

  • 2. Using the contingency table you created, to find the probability that a randomly selected skittle is red or yellow; probability that a randomly selected skittle is red or from your bag; probability that a randomly selected skittle is red and from your bag; probability that a randomly selected skittle is from your bag, given it is red; and lastly for this section I would find the probability that three randomly selected skittles (without replacement) are all red.

  • Suppose your bag is a random sample of Skittles from the place where you purchased it and Student A's bag is a random sample from Wall Drug Store. List and check the conditions for computing a 95% confidence interval for the difference in proportions of red skittles between the place where you purchased your bag and Wall Drug Store. State whether the confidence interval will be valid or not. Use GeoGebra to compute the interval. Include an image that shows the inputs you entered and the output that resulted. Interpret your interval in context, including stating where you bought your bag.

  • Calculate n1p^, n1(1−p^), n2p^, and n2(1−p^) and state whether the sample sizes in your bag and Student A's bag are large enough for a hypothesis test for the difference in proportions to be valid. Using the data from your bag and from Student A's bag, carry out a hypothesis test for whether there is a difference in the proportions of red skittles between the place where you purchased your bag and Wall Drug Store. Give the hypotheses, test statistic, p-value, decision about the null hypothesis, and appropriate conclusion in context.

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• Below is my presentation of the 'Skittles Project.'

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