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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

Step 2: Conduct the analysis

  1. (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

Chick-Fli-A

Mayonnaise

Total

Male

21

10

12

3

46

Female

4

0

3

1

8

Total

25

10

15

4

54

Ketchup

Not Ketchup

Male

21

25

Female

4

4

Total

25

29

  1. Conduct a hypothesis test to determine if the factors are independent:
    1. (2 pts.) What are the parameters of interest?

  1. (2 pts.) Are the assumptions satisfied?
  2. (1 pt.) What are the hypotheses?
  3. (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.
  4. (5 pts.) Calculate the test statistic. Please include all work and/or table.

Gender

Favorite Snack

Observed

Expected

Difference

Square

Ratio

  1. (1 pt.) Find the p-value using the chi-squared table to estimate it.
  2. (1 pt.) State your decision.
  3. (1 pt.) State your conclusion.
  4. (2 pts.) Conduct the analysis in JMP. Compare answers. Are they the same? Please include the JMP output.

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