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## MALL TRENDS

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**MALL TRENDS**By: Cameron Lance, Denny Burns, and Dominic Raguz**TOPIC**• We will observe people going into three different stores • Pac sun • Hollister • GameStop • We will go to two different malls at two different times • Montgomery Mall • Willow Grove Mall**What We Wanted To Research**• We wanted to see if certain stores appealed to specific genders • Testing to see if stereotypes were true about certain stores • Hollister would have more females • GameStop would have more males • Pac Sun would be a neutral store**What We Wanted To Research**• We wanted to see if males or females are more likely to purchase goods in a store-We want to find out the overall trend between genders as to who buys more when they enter a store • We think that females are more likely to buy something as opposed to males**What We Wanted To Research**• We wanted to see which store is the most popular out of the three observed • See which store has more people going in and out of it • Between the three, we think that Pac Sun will have the most people because they are advertised as a neutral store, appealing to males and females**Procedure**• We are conducting an observational study to collect our data • We will sit at a distance from each store for ninety minutes • One person at each store for a ninety minute interval, making observations of gender, whether they purchase something, and how many people visit the store • We are counting everybody that walks in except for babies and anybody that doesn’t have a choice**Procedure**• After the ninety minute observational period, we went to the other mall • We changed the store we observed to make sure the results were consistent • Next day did the same thing at each mall, but at different times**WILLOW GROVE MALL-**GAMESTOP 27 51 12 33**MONTGOMERY MALL - HOLLISTER**59 28 35 16**WILLOW GROVE MALL-**HOLLISTER 114 39 38 17**MONTGOMERY MALL - PACSUN**37 41 32 25**WILLOW GROVE MALL-**PACSUN 84 87 24 23**Chi-Square Test of Association –**Pac Sun ASSUMPTIONS1. 2 SRS 2. All expected counts > 5 CHECKS1. Was not an SRS, we counted everyone; but we did the test anyways 2. HYPOTHESESHO: There is NO association between the gender of someone who buys a product at Pac Sun (independent of one another) HA: There IS AN association between the gender of someone who buys a product at Pac Sun**Chi-Square Test of Association**• X2 = (observed – expected)2expectedX2 = (48 – 53.587)2 53.87 • X2 = 1.647P(X2 > 1.647 df = 1) = .1993 • CONCLUSIONWe fail to reject Ho because a p-value of .1993 > α = .05. We have sufficient evidence that there is no association between the gender of someone who buys a product at Pac Sun. ∑ ∑ • (128-122.41)2122.41 + …**Chi-Square Test of Association – Hollister**ASSUMPTIONS1. 2 SRS 2. All expected counts > 5 CHECKS1. Was not an SRS, we counted everyone; but we did the test anyways 2. HYPOTHESESHO: There is NO association between the gender of someone who buys a product at Hollister (independent of one another) HA: There IS AN association between the gender of someone who buys a product at Hollister**Chi-Square Test of Association**• X2 = (observed – expected)2expectedX2 = (33 – 30.233)2 30.233 • X2 = 1.647P(X2 > .511 df = 1) = .474 • CONCLUSIONWe fail to reject Ho because a p-value of .474 > α = .05. We have sufficient evidence that there is no association between which gender buys something at Hollister. ∑ ∑ • (67-69.767)269.767 + …**Chi-Square Test of Association – GameStop**ASSUMPTIONS1. 2 SRS 2. All expected counts > 5 CHECKS1. Was not an SRS, we counted everyone; but we did the test anyways 2. HYPOTHESESHO: There is NO an association between the gender of someone buying an item at GameStop (independent of one another) HA: There IS AN association between the gender of someone buying an item at GameStop**Chi-Square Test of Association**• X2 = (observed – expected)2expectedX2 = (35 –34.826)2 34.826 • X2 = .003P(X2 > .003 df = 1) = .954 • CONCLUSIONWe fail to reject Ho because a p-value of .954 > α = .05. We have sufficient evidence that there is no association between the gender of a person who buys something at GameStop. ∑ ∑ • (90-90.174)290.174 + …**One Proportion Z-Test-**Pac Sun • AssumptionsChecks • SRS 1.assumed • Normal population 2.n ≥ 30 Or N≥30 • Population ≥ 10n 3. 10n ≤ Population**One Proportion Z-Test-**Pac Sun Ho: p=0.5 Ha: p≠0.5 Z= = -0.317 2*P(z<-0.317)= .751 We fail to reject Ho because p-value of 0.751 > α=0.05 We have sufficient evidence that the true percent of males is equal to 50%**One Proportion Z-Test-**Hollister • AssumptionsChecks • SRS 1.assumed • Normal population 2.n ≥ 30 Or N≥30 • Population ≥ 10n 3. 10n ≤ Population**One Proportion Z-Test-**Hollister Ho: p=0.5 Ha: p<0.5 Z= =-7.764 P(z<-7.764)=8.3*10^-15 We reject Ho because p-value of 8.3*10^-15 < α=0.5 We have sufficient evidence that the true percent of males who go to Hollister is less than 50%**One Proportion Z-Test-**GameStop • AssumptionsChecks • SRS 1.assumed • Normal population 2.n ≥ 30 Or N≥30 • Population ≥ 10n 3. 10n ≤ Population**One Proportion Z-Test-**GameStop Ho: p=0.5 Ha: p>0.5 Z= =3.456 P(z>3.456)=.0003 We reject Ho because p-value of .0003 > α=0.5 We have sufficient evidence that the true percent of males who go to GameStop is greater than 50%**Overall Conclusions**• GameStop • We found that at the mall more males go into GameStop than females • However, if a females goes in, she is more likely to buy something • Hollister • We found that at the mall more females go into Hollister than males • However, if a male goes in, he is more likely to buy something**Overall Conclusions**• Pac Sun • We found that at the mall Pac Sun is a neutral store with about the same number of males and females going in**Bias and Error**• Stores having a sale could lead to more people walking in or buying things • We only went to two different malls at times that suited us • If we missed people walking in or if someone went in twice during the time we observed • We could of missed someone if they were in a group of people that walked out and we miscounted**Personal Opinions**and Conclusions • Our conclusions were what we thought would happen • GameStop is male dominated • Hollister is female dominated • Pac Sun is neutral • We loved doing stat outside of school!!!!! • It was a lot of waiting around and taking data but we found ways to entertain ourselves • It was rewarding to get all our results after our hard work