Learning Objectives for Hypothesis Testing
Lecture 12
The student will be able to:
1. List the 7 steps of hypothesis testing.
2. State in your own words the type I and type II errors for a given
problem.
3. Choose the appropriate alpha level based on the degree of
consequence of the type I and type II errors.
4. Identify unethical behavior in terms of hypothesis testing.
5. Extract the appropriate information from a story problem to perform
a complete 7-step hypothesis test.
6. Perform a 1-sample z-test on the mean.
7. Perform a 1-sample t-test on the mean.
For all hypothesis tests:
For a given story problem:
1.
Set up the null and alternative hypotheses correctly.
2.
Choose the appropriate test statistic.
3.
Choose the appropriate level of significance.
4.
Find the critical value using a table and state the decision rule
correctly. Or if the analysis is to be performed on Minitab, state
the p-value decision rule.
5.
Calculate the appropriate test statistic by hand and on Minitab.
6.
Make a statistical decision.
7.
State the conclusion.
8.
If the problem asks for a business decision based on the
hypothesis test, state the appropriate decision.
Lecture 13
The student will be able to:
1. Calculate and interpret the p-value for a z-test.
2. State the p-value decision rule for all hypothesis tests.
3. Use the p-value decision rule to make a statistical decision.
4. List the assumptions for a t-test.
5. List the assumptions for a z-test.
6. Perform a 1-sample t-test on the mean in Minitab.
7. Properly word-process all 7-steps of the hypothesis test.
Lecture 14
The student will be able to:
1. Perform a 7-step hypothesis test for 2 means using the appropriate
formula.
2. Extract the appropriate information from a story problem to perform
a complete 7-step hypothesis test.
3. Choose when to use a 2-sample t-test vs. a 2-sample z-test.
4. List the assumptions for a 2-sample equal (pooled) variance
independent t-test.
5. Perform a 2-sample equal (pooled) variance t-test on Minitab.
Lecture 15
The student will be able to:
1. Use an F-test to perform an equality of variance 7-step hypothesis
test.
2. Incorporate the F-test for equality of variance in the hypothesis
test for 2 means.
3. Perform a 2-sample unequal variance independent t-test in Minitab.
4. Choose between the equal variance and unequal variance t-tests based
on the results of the equality of variance test.
Lecture 16
The student will be able to:
1. Perform a 7-step hypothesis test for a paired t-test.
2. Compare and contrast the paired t-test with the independent t-test.
3. For a given story problem comparing two means, choose correctly
whether to use an independent t-test or a paired t-test.
4. Perform a paired t-test in Minitab.
5. Perform a 7-step hypothesis test to compare 2 proportions.
6. Perform a 2-proportion test in Minitab.
Lecture 17
The student will be able to:
1. Calculate the expected frequency for a cell in a contingency table.
2. Perform a 7-step hypothesis test using the chi-square distribution
to test for independence of two qualitative variables.
3. Interpret the results of the chi-square test of independence.
4. Look up the critical value in the chi-square table.
5. Perform a chi-square test in Minitab, both for a contingency table
and for raw data.
Lectures 18 & 19
The student will be able to:
1. Perform a 7-step hypothesis test using one-way analysis of variance
(ANOVA) to test for the equality of 3 or more means.
2. Find the appropriate critical value on the F table.
3. Calculate all the terms in the ANOVA table.
4. Test the assumptions for ANOVA.
a. Test for equality of variances in Minitab.
b. Test for normality in Minitab.
5. Interpret the results of the hypothesis test.
6. Perform a one-way ANOVA in Minitab.
7. Perform and interpret a Tukey’s pairwise comparison in Minitab.
8. List the order in which the analyses performed in Minitab should be
evaluated.
9. Stop at the appropriate analysis (Equality of Variance test,
Normality test, ANOVA, or Tukey’s test) based on the results of each
test.