320 likes | 637 Views
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.
E N D
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