Spending at least $15 during a trip
SPRSPEND [variable 4] spends at least $15 during a trip to Springdale Mall.
The total respondents are 150
The total number of respondents who are likely to spend at least $15 during a trip to Springdale Mall are 105.
Therefore, the probability that a randomly selected respondent spend at least $15 during a trip to Springdale Mall is given by;
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105/150
= 0.70000
DOWSPEND [variable 5] spends at least $15 during a trip to Downtown.
The total respondents are 150
The total number of respondents who are likely to spend at least $15 during a trip to Downtown are 83.
Therefore, the probability that a randomly selected respondent spend at least $15 during a trip to trip to Downtown is given by;
83/150
= 0.55333
WESSPEND [variable 6] spends at least $15 during a trip to West Mall.
The total respondents are 150
The total number of respondents who are likely to spend at least $15 during a trip to West Mall are 79.
Therefore, the probability that a randomly selected respondent spend at least $15 during a trip to trip to West Mall is given by;
79/150
= 0.52667
From these probabilities, a shopper is likely to spend at least $15 during a typical shopping visit with the strongest preference area being Springdale Mall followed by Downtown then to West Mall respectively.
Highest-quality goods
BSTQUALI [variable 11] feels that Springdale Mall has the highest-quality goods.
The total respondents are 150
The total number of respondents who feels that Springdale Mall has the highest-quality goods are 77.
Therefore, the probability that a randomly selected respondent feels that Springdale Mall has the highest-quality goods is given by;
77/150
= 0.51333
BSTQUALI [variable 11] feels that Downtown has the highest-quality goods.
The total respondents are 150
The total number of respondents who feels that Downtown has the highest-quality goods are 37.
Therefore, the probability that a randomly selected respondent feels that Downtown has the highest-quality goods is given by;
37/150
= 0.24667
BSTQUALI [variable 11] feels that West Mall has the highest-quality goods.
The total respondents are 150
The total number of respondents who feels that West Mall has the highest-quality goods are 19.
Therefore, the probability that a randomly selected respondent feels that West Mall has the highest-quality goods is given by;
19/150
= 0.12667
From these probabilities, a respondent is likely to feel that a mall highest-quality goods with the strongest preference area being Springdale Mall followed by Downtown then to West Mall respectively.
Contingency table 1
| RESPGEND | ||
| SPRSPEND: spending at least $15 during a trip to Springdale Mall | Male | Female |
| Yes |
42 |
62 |
| No |
26 |
20 |
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?
The total female respondents are 82
The total number of female respondents who are likely to spend at least $15 during a trip to Springdale Mall are 62.
Therefore, the probability that a randomly selected female respondent spending at least $15 during a trip to Springdale Mall is given by;
62/82
= 0.41333
The total male respondents are 68
The total number of male respondents who are likely to spend at least $15 during a trip to Springdale Mall are 42.
Therefore, the probability that a randomly selected male respondent spending at least $15 during a trip to Springdale Mall is given by;
42/68
= 0.61765
Therefore, the male is more likely than a female to spend at least $15 during a visit to Springdale Mall.
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?
Contingency table 2
| RESPGEND | ||
| SPRSPEND: spending at least $15 during a trip to Downtown Mall | Male | Female |
| Yes |
42 |
41 |
| No |
26 |
41 |
The total female respondents are 82
The total number of female respondents who are likely to spend at least $15 during a trip to Downtown Mall are 41.
Therefore, the probability that a randomly selected female respondent spending at least $15 during a trip to Downtown Mall is given by;
41/82
= 0.50000
The total male respondents are 68
The total number of male respondents who are likely to spend at least $15 during a trip to Downtown Mall are 42.
Therefore, the probability that a randomly selected male respondent spending at least $15 during a trip to Downtown Mall is given by;
42/68
= 0.61765
Similarly, the male is more likely than a female to spend at least $15 during a visit to Downtown Mall.
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?
Contingency table 3
| RESPGEND | ||
| SPRSPEND: spending at least $15 during a trip to West Mall | Male | Female |
| Yes |
36 |
43 |
| No |
32 |
39 |
The total female respondents are 82
The total number of female respondents who are likely to spend at least $15 during a trip to West Mall are 43.
Therefore, the probability that a randomly selected female respondent spending at least $15 during a trip to West Mall is given by;
43/82
= 0.52439
The total male respondents are 68
The total number of male respondents who are likely to spend at least $15 during a trip to West Mall are 36.
Therefore, the probability that a randomly selected male respondent spending at least $15 during a trip to West Mall is given by;
36/68
= 0.52941
Similarly, the male is more likely than a female to spend at least $15 during a visit to West Mall.
From these probabilities, a female respondent is likely to spend at least $15 during a typical shopping visit with the strongest preference area being West Mall followed by Downtown and finally Springdale Mall respectively, (Ramsey, 2010). In addition, a male respondent is likely to spend at least $15 during a typical shopping visit with the equal preference area being Downtown and Springdale Mall then followed by West Mall respectively.
In conclusion, both males and females have different preference when it comes to the mall to shop from. Again, malls vary by the cost of commodities and this affects their economic growth in the area.
References
Ramsey, W. F. (2010). Socio-spatial Constructs of the Local Retail Food Environment: A Case Study of Holyoke, Massachusetts.
