Annotated Steps for Hypothesis Testing
Research question? __________________________________________________________
1. Restate research question as two hypotheses: HA & H0 (our research hypothesis and our null
hypothesis). Note: HA is what we are actually hypothesizing. H0 is our "dummy" null
hypothesis that states, in effect "HA is not true."
HA :
H0 :
2. Determine characteristics (mean, standard error) of sampling distribution (the comparison
distribution). Note: For the sampling distribution, assume the null hypothesis is true. For this
week's purposes, it is the distribution of sample means. It is always a distribution of statistics.
Mean ____
Standard error ____
3. Find critical value (s) on the sampling distribution. Note: To do this, you need to pick a
significance level (alpha) and decide whether to use a two-tailed or one-tailed test. Then check
the normal curve table. If you are a visual thinker, sketch the curve, mark where critical value(s)
fall, and shade the areas where you can reject the null. If you are a numerical thinker, just write
down the Z-score you have to beat, and be sure you specify +, -, or +/- (two tailed).
Significance ____
Number tails ____
Critical value(s) ____
4. Calculate statistic, then turn it into a Z-score to see where it falls on the sampling distribution.
Note: For Chs. 5&6, this is the sample mean. Statistics are always calculated using...the sample.
But to get the Z, you use the mean and standard error of ... the sampling distribution.
Statistic _____
Z-score _____
5. Compare 3 & 4 and make decision about H0 : Reject or retain? What's the answer to your
research question? Note: if you are a more visual thinker, look to see if your statistic falls in a
shaded region. If you are more numerical, see if the Z-score exceeds the critical value(s).
Answer to research question? _____________________________________________________