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Chapter 14: Hypothesis Tests – Small Samples
Observe from the output that we are given both the
test statistic value and
the
P
-value for the test. Thus we can use the information to present the test
from the classical as well the
P
-value approach. We will present from both
perspectives.
Classical Approach
:
(
)
:
(
)
̅
̅
√
= 2.5534 (from
Figure 14-12
)
D.R
: For a significance level
= 0.01, reject the null hypothesis if the
computed test statistic value
= 2.5534 >
= 2.4528.
Conclusion
: Since 2.5534 > 2.4528, reject
. There is sufficient sample
evidence to conclude that on average for this statistics course, the female
students spend more than male students on shopping at the beginning of the
semester, at the 1% level of significance.
Note:
Since the null hypothesis was rejected, there is a significant
differentiation for the difference between the sample means and the
postulated value of 0.
Observe that we had to use the critical
in the above test. We can use
the
Critical
t
-values
workbook to compute this value as shown in
Figure
14-13
.
Click here for the Small Sample Test for the Difference Between Two Means Workbook