15.3.11: Chapter 12 Lab
- Page ID
- 28625
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Chi‐square tests for categorical data
Open MINITAB file lab11.mpj from the website.
- A sample of motor vehicle deaths for a recent year in Montana is broken down by day of the week. Test the claim that fatalities occur with equal frequency on the different days (\(\alpha =5\%\)).
| Sun | Mon | Tue | Wed | Thu | Fri | Sat |
|---|---|---|---|---|---|---|
| 35 | 21 | 22 | 18 | 23 | 29 | 45 |
- State the null and alternative hypotheses in words.
- State the null and alternative hypotheses in population parameters.
- What model are you choosing and what assumptions are needed?
- The data is in the first 2 columns of the Mintab worksheet. Conduct the test at a significance level of 5%, using MINITAB command: Stat>Table > Chi Square Goodness of Fit. Set the Observed Counts to the column you just entered and choose Equal Proportions. Paste the results here.
- Do you reject or fail to reject \(H_o\)? Then state your conclusion in the context of the problem.
- Pew Research conducted a poll of 2000 American adults asking whether they Favor or Oppose same‐sex marriage. The data is summarized in the two‐way table shown below. Conduct a hypothesis test to determine if Americans’ opinions about same‐sex marriage are age related?
- Before conducting the test, determine the percentage in each group that supports same sex marriage. Describe the trend.
- Now we will conduct the test. State the null and alternative hypotheses.
- What model are you choosing and what assumptions are needed?
- The table above has been entered in columns 4 to 7 of the Minitab file. Conduct the test at a significance level of 1%, using MINITAB command: Stat>Table > Crosstabulation/Chi Square. Choose Summarized Data. Highlight columns that contain the table. Paste the results here.
- Do you reject or fail to reject \(H_o\)? Then state your conclusion in the context of the problem.
For questions 3 and 4, the popular data starts in column 9. Use the MINITAB command Stat>Table > Crosstabulation. Choose Raw Data. To run the Chi Square test of independence, Click Chi‐square and check the options as shown. Run these tests at a significance level of 5%.
- Test for dependence between location and goal for elementary school students.
- State the null and alternative hypotheses.
- Run the test and paste the results here.
- Do you reject or fail to reject \(H_o\)? Then state your conclusion in the context of the problem.
- Test for dependence between gender and goal for elementary school students.
- State the null and alternative hypotheses.
- Run the test and paste the results here.
- Do you reject or fail to reject \(H_o\)? Then state your conclusion in the context of the problem.