Chi Square Test $($GOF and Independence$)$

M&M DATA $($Individual$)$

What Colorn Come

In Your Bag?

Here are the percentages given by M&M on their website for each color.

Brown $=12\%$

Red$=12\%$

Yellow $=15\%$

Orange $=23\%$

Green $=15\%$

Blue $=23\%$

Open $2$ bags of M&Ms$.($If you do not have $2$ bags of M&M$\text{'}$s email me and I will send you a set of data.$)$

Separate the M&Ms into color categories and count the number of each color.

Record your M&M color totals in the data table.

Table $1$

$\backslash$table$[[$Brown$,$Red,Yellow,Green,Orange,Blue$],[30,26,45,32,36,37]]$

Total Number of M&M$\text{'}$s

Calculate the expected number of M&Ms in your package by multiplying the total number of M&M$3$ in the package by the color percent listed on page $1$ of the activity.

For example, if your package contains $500M$&$Ms$ and you want to find the expected number of red M&Ms you will need to multiply $500$ by $20\%(5000\mathrm{.}20).$ Record your calculations in the data table.

Calculate the difference between the observed and expected numbers for each M&M color. Record your calculations in the data table.

Square the difference between the observed and expected. Record your calculations in the data table.

Divide the square of the difference by the expected, Record your calculations in the data table.

Total all the answers from step $7$ to determine the chi$-$square $({}^2)$ value. Record the chi$-$square $({}^2)$ in the data table.