Summary
data from previous example
OneSample
Difference of Means
Population
Mean
18.0000
Sample
Mean
19.5000
Std
Deviation
1.0000
Sample
Size (n)
30
Test
statistic
8.2160
p <
0.0000 (2tailed)
For a 2tailed test, the pvalue represents the
probability of making a type 1 error (concluding there is statistical significance when
there is none). Since there is less than a .01
% ( p < .0001) chance of making a type 1 error, which does not exceed the 5% error
limit (p =.05) established in the rejection criteria of the hypothesis testing process
(alpha), you conclude there is statistical significance.
