Lab Instructions: In this lab, we will begin to develop the concepts found on testing for independence in chapter 6, section 4. Please be sure to:
- Follow all instructions.
- Answer each question completely.
- Include JMP output to help demonstrate and support your answers.
Submission Instructions: You will be submitting your lab in Gradescope. Save the file for the lab and upload with the title Math539 _LabXX_Name. Be sure to input your lab section and name into the title of the file.
Good luck and enjoy!
Step 1: Data Collection
Complete the survey in the pre-assignment. Make sure that the data is in the correct form for JMP.
Step 2: Conduct the analysis
- (3.75 pts.) Using the data, complete the following chart. You may combine categories so that the cells have at least 5 in each.
Ketchup | Mustard | Relish | Mayonnaise | Total | |
Male | |||||
Female | |||||
Total |
- Conduct a hypothesis test to determine if the factors are independent:
- (2 pts.) What are the parameters of interest?
- (2 pts.) Are the assumptions satisfied?
- (1 pt.) What are the hypotheses?
- (2 pts.) What is the formula for the test statistic, and the distribution for the test statistic? Be sure to include the degrees of freedom.
- (5 pts.) Calculate the test statistic. You may want to create a table such as the one below in Excel. Please include all work and/or table.
Gender | Favorite Snack | Observed | Expected | Difference | Square | Ratio |
- (1 pt.) Find the p-value using the chi-squared table to estimate it.
- (1 pt.) State your decision.
- (1 pt.) State your conclusion.
- (2 pts.) Conduct the analysis in JMP. Compare answers. Are they the same? Please include the JMP output.