1.1 - The Practice of Statistics for AP

Question

Mars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: $23\%$ 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.

State appropriate hypotheses for testing the company’s claim about the color distribution of peanut $M\&M’S$.  

Step-by-Step Solution

Answer

The null and alternative hypotheses are:

$H_0$ : All of the $M\&M$ distributions are correct

$H_a$ : At least one of the $M\&M$ distribution are correct

Step 1: Given Information

The number of blue, orange, green, yellow, red and brown candies are $12,7,13,4,8$ and $2$ respectively. The proportions are $23\%,15\%$ and $12\%$ respectively.

Step 2: Explanation

A test's null hypothesis always predicts that there will be no effect or relationship between variables, whereas the alternative hypothesis outlines your study prediction of an effect or link.