How to State the Conclusion about a Hypothesis Test-old
The Easier Way
If the claim was the null, then your conclusion is about whether there was sufficient evidence to reject the claim. Remember, we can never prove the null to be true, but failing to reject it is the next best thing. So, it is not correct to say, “Accept the Null.”
If the claim is the alternative hypothesis, your conclusion can be whether there was sufficient evidence to support (prove) the alternative is true.
Use the following table to help you make a good conclusion.
The best way to state the conclusion is to include the significance level of the test and a bit about the claim itself.
For example, if the claim was the alternative that the mean score on a test was greater than 85, and your decision was to Reject then Null, then you could conclude:
“At the 5% significance level, there is sufficient evidence to support the claim that the mean score on the test was greater than 85.”
The reason you should include the significance level is that the decision, and thus the conclusion, could be different if the significance level was not 5%.
If you are curious why we say “Fail to Reject the Null” instead of “Accept the Null,” this short video might be of interest: Here