Microsoft Office Tutorials and References
In Depth Information
Throughout this topic, we are assuming that you want to be 95% conﬁdent in the
results of your statistical tests. Therefore, the value for t in the t-table in Appendix E
tells you whether or not the t-value you obtained when you used the formula for the
one-group t-test is within the 95% interval of the t-curve range that that t-value
would be expected to occur with 95% conﬁdence.
If the t-value you obtained when you used the formula for the one-group t-test is
inside of the 95% conﬁdence range, we say that the result you found is not
signiﬁcant (note that this is equivalent to accepting the null hypothesis!) .
If the t-value you found when you used the formula for the one-group t-test is
outside of this 95% conﬁdence range, we say that you have found a signiﬁcant
result that would be expected to occur less than 5% of the time (note that this is
equivalent to rejecting the null hypothesis and accepting the research hypothesis ).
4.1.6 STEP 6: State the result of your statistical test
There are two possible results when you use the one-group t-test, and only one of
them can be accepted as “true.”
Either: Since the absolute value of t that you found in the t-test formula is less
than the critical value of t in Appendix E, you accept the null hypothesis.
Or: Since the absolute value of t that you found in the t-test formula is greater
than the critical value of t in Appendix E, you reject the null hypothesis, and accept
the research hypothesis.
4.1.7 STEP 7: State the conclusion of your statistical
test in plain English!
In practice, this is more difﬁcult than it sounds because you are trying to summarize
the result of your statistical test in simple English that is both concise and accurate
so that someone who has never had a statistics course (such as your boss, perhaps)
can understand the result of your test. This is a difﬁcult task, and we will give you
lots of practice doing this last and most important step throughout this topic.
If you have read this far, you are ready to sit down at your computer and perform
the one-group t-test using Excel on some hypothetical data.
Let’s give this a try.
4.2 One-group t-test for the mean
The American Institute of Biological Sciences (AIBS) is a non-proﬁt scientiﬁc
association dedicated to advancing biological research and education. It has more
than 150 member organizations. AIBS publishes a peer-reviewed monthly journal
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