615 / 762
Chapter 14: Hypothesis Tests – Small Samples
615
: For a significance level of
= 0.05, reject the null hypothesis if the
computed test statistic value
= 3.9604 > +
= 1.7396.
Conclusion
: Since 3.9604 > 1.7396, reject
. There is sufficient sample
evidence to confirm the researcher’s claim. That is, there is sufficient
sample evidence to claim that the average consumption of alcohol in Florida
is greater than 2.61 gallons per year at the 5% level of significance.
Note
: This means that there is a statistically significant difference between
the sample mean of 2.89 gallons per year and the postulated mean of 2.61
gallons per year.
Figure 14-2
displays the test statistic in relation to the rejection region.
Observe that the test statistic falls to the far right in the rejection region.
Figure 14-2:
Display of the test statistic in relation to the
rejection region for
Example 14-1