Question

What are the null and alternative hypotheses for a math teacher who sees if two of her classes have the same distribution of test scores.

Short answer

$H_0:$The distribution of test scores in both math classes is the same.

$H_a:$The distribution of test scores in the two math classes is not the same.

Step-by-step solution

Concept introduction

A hypothesis is a reasonable assumption for a behaviour (plural hypotheses). The scholarly approach involves that an assumption be validated before it can be deemed a factual prediction. Technical speculations are mainly influenced by past results that cannot be fully addressed by established scientific findings.

Explanation

$H_{0:}$The null hypothesis is as follows: It's a declaration that there's no difference between sample means or proportions, or between a sample mean or proportion and the population mean or proportion. To put it another way, the difference is zero.

$H_a:$The other possibility is: It's a population claim that goes against the null hypothesis and what we conclude when we reject $H_0$.

We conclude that two math classes have the same distribution of exam scores based on the concept of null hypothesis.

We infer that two math classes do not have the same distribution of exam scores, according to the concept of alternate hypothesis.