In: Statistics and Probability
According to the manufacturer of M&Ms, 13% of the plain M&Ms in a bag should be brown, 14% should be yellow, 13% should be red, 24% should be blue, 20% should be orange, and 16% should be green. A student randomly selected a bag of plain M&Ms. he counted the number of M&Ms that were each color and obtained the results shown in the table. Test whether plain M&Ms follow the distribution stated by M&M at the level of significance=0.05.
Color | Frequency |
brown |
61 |
yellow | 64 |
red | 54 |
blue | 61 |
orange | 96 |
green | 64 |
a) state the null and alternate hypothesis
b) verify the requirements
c) calculate the test statistic
d) find the corresponding p-value
e) state your conclusion