Summary
data from previous example
One-Sample
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 (2-tailed)
For a 2-tailed test, the p-value 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.
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