Q. 2.4 - The Practice of Statistics for AP

Question

Let’s continue our analysis of Joey’s sample of M&M’S Peanut Chocolate Candies from the previous Check Your Understanding (page 681). 

4. What conclusion would you draw about the company’s claimed color distribution for M&M’S Peanut Chocolate Candies? Justify your answer.

Step-by-Step Solution

Answer

We reject the null hypothesis and accept the alternative one.

Given

23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown.

Interpretation

From previous sub-part we get, $p-value \approx 0.048456$

Since we have 

$p-value \approx 0.048456>𝛂=0.05$

The result is statistically significant.

We can reject the null hypothesis and accept the alternative.