The MMMars Company reports that their Peanut Chocolate Candi

The M&M/Mars Company reports that their Peanut Chocolate Candies are produced in the following distribution: 20 percent each of browns, yellows, reds and blues, and 10 percent each of greens and oranges. Joey bought a bag of Peanut Chocolate Candies and counted out the following distribution of colors: 12 brown, 7 yellow, 4 red, 8 blue, 13 green and 2 orange. Perform a goodness of fit test of the company

Solution

P value and statistical significance:
  Chi squared equals 21.283 with 5 degrees of freedom.
  The two-tailed P value equals 0.0007
  By conventional criteria, this difference is considered to be extremely statistically significant.