The researcher has preset the , or level of significance, at = .05 and the probability of the statistical analysis is calculated to be p = .09. What decision would the reader of this research expect of the researcher?
1. Fail to reject the null hypothesis.
2. Fail to reject the alternative or research hypothesis.
3. Accept the null hypothesis.
4. Not able to draw a conclusion since the numbers were so close, within .04 points.
1
Rationale 1: The p value is more than the preset level, so the test is not statistically significant. In the language of research, this means the researcher failed to reject the null hypothesis or the hypothesis that said there was no difference.
Rationale 2: The researcher cannot "reject" a research hypothesis since it is the null or statistical hypothesis that is tested, not the research hypothesis.
Rationale 3: The p value is more than the preset level, so the test is not statistically significant. In the language of research, this means the researcher failed to reject the null hypothesis or the hypothesis that said there was no difference. It is considered bad form to use the term "accept" when discussing the null hypothesis.
Rationale 4: Anytime the probability, or p value, is equal to or less than the , the researcher fails to reject the null hypothesis. If the p value is greater than the , the researcher would reject the null hypothesis.
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