Statistics > Hypothesis Tests > Hypothesis Test Conclusion Tool
The Hypothesis Test Conclusion Tool makes the initial conclusion of whether
to reject the null hypothesis of a hypothesis test and gives the wording
of the final conclusion of the test. To use this tool, you
give the original claim in symbolic form (e.g. mean ≤ 3, proportion ≠ 0.5)
and provide the appropriate values for either the traditional or the
p-Value approaches. Based on the original claim, this tool determines the
null and alternative hypotheses and the type of test (left-tail, right-tail,
or two-tail). The conclusion will be based on either the critical value
and test statistic (traditional method) or the significance level
and p-Value (p-Value method).
Original Claim
- Select the name of the population parameter in the
Parameter drop-down menu. You may also enter a customized name
in the drop-down box.
- Select the comparison operator (<, ≤, >, ≥, =, ≠)
in the Condition drop-down menu.
- Enter the hypothesized value in the Value text field.
- Click the Next button for the next step.
Hypotheses and Sample Statistics
- The original claim, null hypothesis, and alternative hypothesis are
displayed in this section. A diagram indicating the type of test
is also displayed.
- Select the method for determining conclusion:
- Traditional Method: Enter the critical value and
test statistic. If the test statistic falls in the critical
region (as determined by the critical value), reject the null
hypothesis; otherwise, fail to reject the null hypothesis.
- p-Value Method: Enter the significance level and
p-Value. If the p-Value is less than or equal to the significance
level α, reject the null hypothesis; otherwise, fail to
reject the null hypothesis.
- Click the Next button for the next step.
Conclusion
- The initial conclusion of whether the null hypothesis is rejected
is shown.
- The final conclusion about the original claim is also
displayed.