Question

Decide on a null hypothesis and a testable research hypothesis. Then you will be shown some data including some descriptive statistics and an associated probability value. Based on those data, make a decision whether or not to reject the null hypothesis. Make sure you state why you made your decision.

Will students score differently on an achievement test when they learn from a friendly teacher or a stern teacher?

State the NULL HYPOTHESIS

State the ALTERNATIVE HYPOTHESIS

Data were collected and results showed:

Achievement test scores for friendly teacher group= 80%

Achievement test scores from stern teacher group= 59%

P= .001

Make your decision:

Answer 1

Let   denote the average scores in the achievement test when they learn from a friendly teacher

and   denote the average scores in the achievement test when they learn from a stern teacher.

The objective of our hypothesis testing is to check whether students score differently on the achievement tests when they learn from a friendly teacher or a stern teacher.

So, our null and alternative hypothesis should be

The results showed that achievement test scores for the friendly teacher group was 80%

and that of stern teacher group was 59%

The P-value of the test is 0.001 which is less than (presumably taken as 0.05).

We reject the null hypothesis at 5% level of significance.

In other words, we can say that we have sufficient evidence to claim that the achievement test scores differ when students learn from a friendly teacher or a stern teacher.