A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table.
Red Green Blue Yellow Orange
17 24 20 25 14
Which color contributes most to the chi-square test statistic?

Chi-square test is the statistical test, which is used to examine, the difference between the expected frequency and the observed frequency.

[tex]x^2=\dfrac{(o_i-E_i)^2}{E_i}[/tex]

A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim.

They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table-

Red Green Blue Yellow Orange

17 24 20 25 14

The average of the all the values is 20.

Now, according to the manufacturer, bags should contain an equal number of each color. Thus, the expected value for the bag of candy are,

Red Green Blue Yellow Orange

20 20 20 20 20

Form, the above formula the color which has less values of observed, and more value of expected, contributes most to the chi-square test statistic.

Here, the orange color has the less value of observed frequency. Therefore, the color which contributes most to the chi-square test statistic for the bag of candy is orange color.

Learn more about the chi-square test here;

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