Question

A marketing researcher has to choose between three car models that consumers will want to purchase....

  1. A marketing researcher has to choose between three car models that consumers will want to purchase. He had 120 men and 80 women decide which of the three designs were their favorite. The results are below.

Car Model 1

Car Model 2

Car Model 3

Row Totals

Men

52

28

40

120

Women

24

26

30

80

Column Totals

76

54

70

n = 200

  1. Assuming, a null hypothesis, how many of the women would be expected to prefer Car Model 3 and how did you come up with that number?
  2. Do the data indicate that the distribution of preference of men is significantly different from the distribution of women? Use α = 0.05 (include expected values, df, critical value, and chi-square statistic)
  3. Write out the results for part b in APA format.
  4. Name three reasons why a researcher chooses to use a nonparametric test?
  5. What is the general goal for the goodness of-fit-test compared to the general goal of the chi-square test for independence?
  6. If the above problem only looked at the men (see below), assuming a no-preference null hypothesis, how many men would be expected to prefer Car Model 2 and how did you come up with that number?

Car Model 1

Car Model 2

Car Model 3

Men

52

28

40

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