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Chapter 12: Hypothesis Tests – Large Samples
: For a significance level of
= 0.05, reject the null hypothesis if the
computed test statistic value
= 2.3384 >
= 1.645.
Conclusion
: Since 2.3384 > 1.645, reject
. There is sufficient sample
evidence to conclude that on average, female college students spend more
than male college students on shopping at the beginning of the semester, at
the 5% level of significance.
Note:
There is a significant difference for the difference of the sample
means of 1085 – 995 = 90 and the postulated value of 0.
P
-value Approach:
:
(
0)
:
(
0)
P
-value = 0.0097 (from
Figure 12-28
)
: For a significance level
= 0.05, reject the null hypothesis if the
computed
P
-value = 0.0097 <
= 0.05.
Conclusion
: Since 0.0097 < 0.05, reject
. There is sufficient sample
evidence to conclude that on average, female college students spend more
than male college students on shopping at the beginning of the semester, at
the 5% level of significance.
Note:
There is a significant difference for the difference of the sample
means of 90 and the postulated value of 0.
Figure 12-29
displays the test statistic in relation to the rejection region for
the classical approach. Observe that the test statistic falls in the rejection
region. The area to the right of the
of 2.3384 is 0.0097. This area will
be smaller than the
area (rejection region area) of 0.05.