In step five, the probability computed in Step
4 is compared to the significance level stated in Step 2. Since the
probability value (0.028) is less than the significance level (0.05)
the effect is statistically significant.
Since the effect is significant,
the null hypothesis is rejected. It is concluded that the mean
anxiety score of 10-year-old children with alcoholic parents is
higher than the population mean.
The results might be described in a
report as follows:
The mean score of children of alcoholic parents (M =
8.1) was significantly higher than the population mean ( µ=
7.0), z = 2.2, p = 0.028.
Summary of Computational Steps
Specify the null hypothesis and an alternative hypothesis.
Compute M = ΣX/N.
Compute = .
Compute where M is the
sample mean and µ is the hypothesized value of the
population.