Question

Suppose a person has 8 red, 5 green, 12 orange, and 15
blue balls. Test the null hypothesis that the colors of the
balls occur with equal frequency. What is the Chi Square
value you get?​

Answer 1

Answer: 5.8.

Step-by-step explanation: The sum of each (expected – observed)2/expected = (10-8)2/10 + (10-5)2/10 + (10-12)2/10 + (10-15)2/10 = 5.8.

Answer 2

Given:

A person has 8 red, 5 green, 12 orange, and 15 blue balls.

To Find:

What is the Chi Square value you get?​

Solution:

We know that,

The difference between the observed and expected frequencies of the outcomes of a set of events or variables is measured by the chi-square ($x^{2}$) statistic. Chi-square is a valuable tool for assessing category differences, especially ones that are nominal in character.

So, in order to find the Chi-square value,

The sum of each (expected – observed)2/expected = (10-8)2/10 + (10-5)2/10 + (10-12)2/10 + (10-15)2/10 = 5.8.

Hence, 5.8 is the Chi Square value we get.