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according to the manufacturer of m&m\'s, 12% of the peanut m&m\'s in a bag shoul

ID: 3434908 • Letter: A

Question

according to the manufacturer of m&m's, 12% of the peanut m&m's in a bag should be brown, 15% yellow, 12% red, 23% blue, 23% orange and 15% green. a student randomly selected a bag of peanut m&m's . he counted the number of m&m's that were each color and obtained the results shown in the table. test whether peanut m&m's follow the distribution stated by m&m/mars at the alpha=.05 level of significance

color                      frequency

brown                   53

yellow                   66

red                         38

blue                       96

orange                  88

green                    59

Explanation / Answer

The test hypothesis:

Ho: peanut m&m's follow the distribution stated by m&m/mars (i.e. null hypothesis)

Ha: peanut m&m's do not follow the distribution stated by m&m/mars (i.e. alternative hypothesis)

observed expected O - E (O - E)