Just because two or more values are different does not mean that they are different in a statistically significant manner. Researchers rely on the p values that are generated for each of their statistical tests to determine significance. If the p value is larger than the alpha, then they are not different in a statistically significant manner, and therefore the values are not considered different. In this journal activity, consider these concepts in terms of the differences between null and alternative hypotheses, and discuss this question:"What is the difference between failing to reject the null hypothesis and having evidence to support the alternative hypothesis?"

To answer this question be sure to:

1. Define the null hypothesis (what is the definition?).

2. Explain what failing to reject the null hypothesis means. (Explain the mistake (type 1 or type 2 error) you made and its implications).

3. Explain what having evidence to support the alternative hypothesis means. What statistically do you use as proof to support the alternative hypothesis? Please discuss statistical significance.

4. Explain what the difference is between "failing to reject the null hypothesis" (making an error) and "having evidence to support the alternative hypothesis."