Q.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 distribution are correct

$H_a$ : At least one of the$\mathrm{M}\&\mathrm{M}$ distribution is 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

The null hypothesis is the hypothesis is to be tested

Another hypothesis is alternative hypothesis

The null and alternative hypotheses are:

$H_0:$ All of the$\mathrm{M}\&\mathrm{M}$distribution are correct

$H_a:$ At least one of the$\mathrm{M}\&\mathrm{M}$ distributions is correct