Question 9.19

9.19 Evaluating the price and math anxiety.

Subjects in a study were asked to arrange for the rental of two tents, each for two weeks. They were offered two options for the price: (A) $40 per day per tent with a discount of $50 per tent per week, or (B) $40 per day per tent with a discount of 20%. The subjects were classified by their level of math anxiety as Low, Moderate, or High.9 The percents of subjects choosing the higher priced option that is easier to compute (A) were 14%, 19%, and 45% for the low, medium, and high math anxiety groups, respectively. Assume that there are 60 subjects in each of these groups.

  1. Give the two-way table of counts for this study.
  2. Use numerical summaries to describe the data. Give a justification for the summaries that you choose.
  3. State appropriate null and alternative hypotheses for this setting.
  4. Give the results of the significance test for these data. Be sure to include the test statistic, the degrees of freedom, and the P-value.
  5. Write a short summary of what you have found, including your conclusion.

9.19

(a) Counts are 8, 11, 27, 52, 49, 33.
(b) Answers will vary. The percent that choose the higher-priced option for each math anxiety group are Low 13.33%, Moderate 18.33%, High 45%.
(c) There is no association between level of math anxiety and which rental option is chosen, There is an association between level of math anxiety and which rental option is chosen.
(d) .
(e) The data provide evidence of an association between level of math anxiety and which rental option is chosen. The higher the math anxiety, the more likely someone will be to choose the higher-priced rental option.