The researcher has preset the level of significance at = 0.05 and the probability of the statistical analysis is calculated to be p = 0.09. 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. Unable to draw a conclusion because the numbers were so close, within 0.04 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 because 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 greater than the level of significance, the researcher fails to reject the null hypothesis. If the p value is less than the level of significance, the researcher would reject the null hypothesis.
Global Rationale:
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