Question

A student in an introductory statistics course investigated if there is evidence that the proportion of

milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are
green. She purchased a bag of each variety and her data are summarized in the following table:
Milk chocolate- Green:8 Not Green: 33 Total: 41
Dark Chocolate- Green: 4 Not green: 38 Total :42

a) Define the appropriate parameter(s) for this data.

Answer 1

Complete question:

A student in an introductory statistics course investigated if there is evidence that the proportion of

milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are

green. She purchased a bag of each variety and her data are summarized in the following table:

Milk chocolate- Green:8 Not Green: 33 Total: 41

Dark Chocolate- Green: 4 Not green: 38 Total :42

a) Define the appropriate parameter(s) for this data.nd state the hypotheses for testing if the proportion of green M&M's differs for milk chocolate and dark chocolate M&M's.

b. The p-value is 0.32. Use this p-value to make a decision about these hypotheses with an alpha of 0.05. Be sure to word your decision in the context of the problem. Include an assessment of the strength of your evidence.

Explanation:

a.
`P_(mc)` = Proportion of milk chocolate M&M 's that are green

`P_(dc)` = Proportion of dark chocolate M&M 's that are green

`H_(0) : P_(mc) = P_(dc)`

`H_(0) : P_(mc)` ≠
`P_(dc)`

b. This p-value provides no evidence that the proportion of green candies differs for milk chocolate and dark chocolate M&M's