Answer:
The correct answer is <em><u>k</u></em><u> = 5</u>.
Step-by-step explanation:
The Chi-square goodness of fit test would be used to determine whether the frequency of insect heads in batches follows a distribution called a Poisson distribution.
The hypothesis for the test can be defined as follows:
<em>H</em>₀: The frequency of insect heads in batches does not follows a Poisson distribution.
<em>Hₐ</em>: The frequency of insect heads in batches follows a Poisson distribution.
Assume that the significance level of the test is, α = 0.05.
The Chi-square test statistic is given by:
It is provided that the 500 batches included at least 5 batches having 0, 1, 2, 3, or 4 insect heads. No batches had more than four heads.
So, the number of classes or categories are, <em>k</em> = 5.
Thus, the correct answer is <em><u>k</u></em><u> = 5</u>.