Question

# (5) decimal places for your probabilities in the report, as some of them will be quite small. Do not convert to

percentages as we are interested in probabilities only here.

1. Based on the relative frequencies for responses to each variable, determine the probability that a randomly selected respondent from:

a. SPRSPEND [variable 4] spends at least $15 during a trip to Springdale Mall.

b. DOWSPEND [variable 5] spends at least $15 during a trip to Downtown.

c. WESSPEND [variable 6] spends at least $15 during a trip to West Mall.

Comparing the preceding probabilities, rank the areas from strongest to weakest in terms of the amount of money a shopper spends during a typical shopping visit.

2. Based on the relative frequencies for responses to each variable, determine the probability that a randomly selected respondent from:

a. BSTQUALI [variable 11] feels that Springdale Mall has the highest-quality goods.

b. BSTQUALI [variable 11] feels that Downtown has the highest-quality goods.

c. BSTQUALI [variable 11] feels that West Mall has the highest-quality goods.

Comparing the preceding probabilities, rank the areas from strongest to weakest in terms of the quality of goods offered.

3. Set up a contingency table for the appropriate variables given, and then determine the following probabilities:

a. SPRSPEND and RESPGEND [variables 4 and 26]: Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to Springdale Mall? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area?

b. DOWSPEND and RESPGEND [variables 5 and 26]: Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to Downtown? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area?

c. WESSPEND and RESPGEND [variables 6 and 26]: Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to West Mall? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area?

Based on the preceding probabilities, rank the shopping areas where males and females are most likely to least likely to spend $15 or more during a shopping visit.

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