# Education Nonparametric Statistics

Before beginning this week’s assignment, you need to visit the following website to review exactly how to calculate the chi-squared (X^{2}) results. I suggest that you carefully read each slide and when you are finished with the step-by-step procedure, perhaps you can try one of the three examples that are provided at the end of the slides. http://www.slideshare.net/mhsgeography/chi-square-worked-example

From this previous set of slides, either you can create your own matrix for the following activity, or you can place the needed information in an Excel spreadsheet and use Excel to run your data as explained in the listed learning materials for this week.

This week’s assignment may be a sweet option for you to enjoy. To complete this assignment, you will need to go to the store and purchase a small bag of M&M’s. You will use the actual findings from your purchased product to determine whether your selected bag color distribution of the product is statistically significant when compared to the M&M’s website product reported percentage. The M&M’s company reports that each bag of M&M’s no matter the size should contain the following percentages of colored candies:

Color | Blue | Brown | Green | Orange | Red | Yellow |

% | 24% | 14% | 16% | 20% | 13% | 14% |

# Bag (50)* | 12 | 7 | 8 | 10 | 6 | 7 |

* If the bag held 50 pieces of candy, this would be the expected number of each color in the bag to meet the reported percentage by Mars Corporation the manufacturers of M&M’s.

Using the percentage information above and the total number of candies found in your purchases bag, calculate the expected number of candies and then next to column place the actual count of the candies. Using the information that you have learned from the book and videos, determine if the actual number of colored candies are statistically significantly different from what the company reports that you should find. Report your work and findings in a well-developed paper that explains the procedures that you followed along with the finding listed as a table using APA guidelines. Place in the appendix a copy of the spreadsheet that you created to determine the statistical significance of your sample.

Next, explain how the use of *chi*-square and other non-parametric testing is an important way to help determine the significance of research that contains sample sizes too small for parametric testing.

Write a 1250–word essay addressing each of the above points/questions. Be sure to completely answer all the prompts for each point and include your data in the body of your essay. There should be separate sections, one for each topic above. Separate each section in your paper with a clear heading that allows your professor to know which topic you are addressing in that section of your paper. Support your ideas with at least three (3) citations in your essay. Make sure to reference the citations using the APA writing style for the essay. The cover page and reference page do not count towards the minimum word amount.