Part 1 Example 1: Colors of Reese's Pieces Consider the population of the Reese's Pieces candies manufactured by Hershey. Suppose that you want to learn about the distribution of colors of these candies but that you can only afford to take a sample of 25 candies. a) Take a random sample of 25 candies and record the number and proportion of each color in your sample. (Use this applet to get your sample http://www.rossmanchance.com/applets/One Prop/One Prop.htm?candy=1) ORIGINAL SAMPLE BELOW: Number Proportion Orange 14 0.56 Part 2 Class sample data from Part 1 of the Reese's Pieces Lab below: Orange Candies Yellow 4 0.16 Brown 7 0.28 12 8 11 14 15 10 17 15 16 13 22 12 68 9 12 17 323 13 12 12 9 13 14 129 15 12 12 10 11 13 16 11 17 237 14 14 14 11 13 12 14 14 Proportion 0.48 0.32 0.44 0.56 0.32 0.52 0.48 0.6 0.48 0.48 0.56 0.56 0.6 0.4 0.68 0.48 0.36 0.48 0.36 0.4 0.44 0.52 0.56 0.44 0.6 0.64 0.52 0.48 0.68 0.52 0.56 0.64 0.44 0.68 0.52 0.48 0.56 0.56 a) Based on what you have learned about random sampling and having the benefit of seeing the sample results of the entire class, take a guess concerning the population proportion of orange candies. Is this the same as the proportion of orange candies from your original sample? Why or why not? b) Create a 95% confidence interval for the population proportion of orange candies using the process we discussed in class. Point estimate: from the class data Critical z value: Standard error: Margin of Error: Lower Bound: Upper Bound: Interpretation: