The Jersey Shore
Jayne, Juliana, and Lauren Hensel
Introduction• Monmouth County
– Keansburg – Sandy Hook– Sea Bright– Monmouth Beach– Long Branch– Deal– Asbury Park– Bradley Beach– Avon By The Sea– Belmar – Spring Lake– Sea Girt– Manasquan
• Cape May County – Ocean City– Sea Isle City– Avalon– Stone Harbor– The Wildwoods– Cape May
• Ocean County– Point Pleasant Beach– Bay Head– Normandy Beach– Lavallette– Ortley Beach– Seaside Heights– Seaside Park– Barnegat Light– Harvey Cedars– Surf City– Ship Bottom– Beach Haven
• Atlantic County– Brigantine– Atlantic City– Ventnor City– Margate City– Longport
Background• 127 miles from Sandy
Hook down to Cape May• The Jersey Shore area rose
to international fame in 2009 after MTV started airing the reality series Jersey Shore
• The Census 2010 showed that year-round populations along the Shore had significantly decreased
Summary• Variables
– Gender– Age– Favorite Activity at the
Beach• Wiffle ball• Volleyball• Soccer • Football • Bean Bag Toss• Sunbathing• Swimming• Sling Ball• Frisbee • Other
– Favorite Food at the Beach• Pizza • Ice cream• Water Ice• Fries • Fried Oreos• Funnel Cake• Popcorn• Other
– Favorite Shore Point• Atlantic City• Avalon• Brigantine • Cape May• Long Port• Margate• None• Ocean City• Point Pleasant• Sea Isle• Seaside Heights• Stone Harbor• Ventnor• Wildwood
Data Collection• We surveyed teenagers on Drexel University's
Class of 2015 Facebook Group Page– Accepted every third response – Only used people from Pennsylvania
Which Jersey Shore do PA Teenagers Go To?
ASSUMPTIONS1. Categorical Data2. SRS3. All expected cell
counts are ≥ 5
CHECKS1. Shore points are
categorical 2. Stated 3. 5 cell counts ≥ 5
Conditions met x2 distribution x2 GOF Test
x2 GOF Test
Which Jersey Shore do PA Teenagers Go To?
• Ho: The distribution of visited shore points is uniformly distributed
• Ha: The distribution of visited shore points is not uniformly distributed
•
• P(χ2>140.4/df=13)= 1.750 x 10-23
• We reject Ho because the p-value of 1.750 x 10-23 is less than α=0.05.
• The distribution of visited shore points is not uniformly distributed
4.140...5
)52(
5
)53(
exp
)exp( 2222
ected
ectedobservedx
Which Jersey Shore do PA Teenagers Go To?
5
10
15
20
25
30
ALA
NT
IC C
ITY
AV
ALO
N
BR
IGA
TIN
E
CA
PE
MA
Y
LON
G P
OR
T
MA
RG
AT
E
NO
NE
O.C
.
PO
INT
PLE
AS
AN
T
SE
A IS
LE
SE
A S
IDE
HE
IGH
TS
ST
ON
E H
AR
BO
R
VE
NT
OR W
Shore
count
Collection 1 Bar Chart
Attribute: (categorical): Shore
Column Summary
Count
ALANTIC CITY
AVALON
BRIGATINE
CAPE MAY
LONG PORT
MARGATE
NONE
O.C.
POINT PLEASANT
SEA ISLE
SEA SIDE HEIGHTS
STONE HARBOR
VENTOR
W
Shore
3
2
2
3
1
1
2
26
1
9
1
1
2
16
70
•Ocean City is the most popular shore point among Pennsylvanian Teenagers•Wildwood is the next most popular
•A.C. – 4.3%•Avalon – 2.9%•Brigantine – 2.9%•Cape May – 4.3%•Long Port – 1.4%•Margate – 1.4%•None – 2.9%•O.C. – 37.14%•Point Pleasant – 1.4%•Sea Isle – 12.9%•Sea Side Heights – 1.4%•Stone Harbor – 1.4%•Ventnor – 2.9%•Wildwood – 22.9%
Which Jersey Shore do PA Teenagers Go To?
Count
Alantic CityAvalonBrigatineCape MayLong PortMargateNoneO.C.Point PleasantSea IsleSea Side HeightsStone HarborVentorWildwood
Which Shore Food do PA Teenagers Enjoy?
ASSUMPTIONS1. Categorical Data2. SRS3. All expected cell
counts are ≥ 5
CHECKS1. Shore foods are
categorical 2. Stated 3. 8.75 cell counts ≥ 5
Conditions met x2 distribution x2 GOF Test
x2 GOF Test
• Ho: The distribution of shore foods is uniformly distributed
• Ha: The distribution of shore foods is not uniformly distributed
•
• P(χ2>45.43/df=7)= 1.128 x 10-7
• We reject Ho because the p-value of 1.128 x 10-7 is less than α=0.05.
• The distribution of shore foods is not uniformly distributed
Which Shore Food do PA Teenagers Enjoy?
43.45...75.8
)75.85(
75.8
)75.85(
exp
)exp( 2222
ected
ectedobservedx
Which Shore Food do PA Teenagers Enjoy?
Attribute: (categorical): Fav_Food
Column Summary
Count
FRIED OREOS
FRIES
FUNNEL CAKE
ICE CREAM
OTHER
PIZZA
POPCORN
WATER ICE
Fav_Food
5
5
12
18
1
21
1
7
70
4
8
12
16
20
FR
IED
OR
EO
S
FR
IES
FU
NN
EL
CA
KE
ICE
CR
EA
M
OT
HE
R
PIZ
ZA
PO
PC
OR
N
WA
TE
R IC
E
Fav_Food
count
Collection 1 Bar Chart
•Pizza is the most popular shore food among Pennsylvanian Teenagers•Ice Cream is the next most popular
•Fried oreos – 7.1%•Fries – 7.1%•Funnel Cake – 17.1%•Ice Cream – 25.7%•Other – 1.4%•Pizza – 30%•Popcorn – 1.4%•Water Ice – 10%
Count
Fried OreosFriesFunnel CakeIce CreamOtherPizzaPopcornWater Ice
Which Shore Food do PA Teenagers Enjoy?
Which Activity at the Shore do PA Teenagers
Enjoy? ASSUMPTIONS
1. Categorical Data2. SRS3. All expected cell
counts are ≥ 5
CHECKS1. Shore activities are
categorical 2. Stated 3. 8.75 cell counts ≥ 5
x2 GOF Test
Conditions met x2 distribution x2 GOF Test
Which Activity at the Shore do PA Teenagers
Enjoy? • Ho: The distribution of shore activities is uniformly distributed
• Ha: The distribution of shore activities is not uniformly distributed
•
• P(χ2>107.8/df=7)= 2.625 x 10-20
• We reject Ho because the p-value of 1.128 x 10-7 is less than α=0.05.
• The distribution of shore activities is not uniformly distributed
8.107...75.8
)75.87(
75.8
)75.837(
exp
)exp( 2222
ected
ectedobservedx
Which Activity at the Shore do PA Teenagers
Enjoy? Attribute: (categorical): Fav_activity_at
Column Summary
Count
B
BIKES
BOATING
FISHING
JET SKIING
MINI GOLF
OTHER
PARASAILING
Fav_activity_at
37
7
4
2
7
7
4
2
70
10
20
30
40
B
BIK
ES
BO
AT
ING
FIS
HIN
G
JET
SK
IING
MIN
I GO
LF
OT
HE
R
PA
RA
SA
ILIN
G
Fav_activity_at
count
Collection 1 Bar Chart
•Boardwalk is the most popular shore activity among Pennsylvanian Teenagers
•Boardwalk – 52.9%•Bikes – 10%•Boating –5.7% •Fishing – 2.9%•Jet Skiing – 10%•Mini Golf – 10%•Other – 5.7%•Parasailing – 2.9%\
Count
Board WalkBikesBoatingFishingJet SkiingMini GolfOtherParasailing
Which Activity at the Shore do PA Teenagers
Enjoy?
What is the average amount of time a PA teenager spends per
day at the beach?ASSUMPTIONS1. SRS2. Normal population
or n ≥ 303. Population ≥ 10n
CHECKS1. Stated 2. n=703. There are more than
700 PA teenagers that vacation at the Jersey Shore
Conditions met t distribution I sample T-Interval
I Sample T-Int
What is the average amount of time a PA teenager spends per
day at the beach?•
• We are 95% confident that the interval for the population mean of hours spent on the beach per day is between 4.808 and 5.82057 hours.
• In recurring samples of the same size (n=70), the true average of hours spent on the beach per day will catch the interval 95% of the time.
0 2 4 6 8 10 12
hours_spent_2
Collection 1 Box Plot
)82057.5,808.4()(
n
stx
Overall Conclusions
• Overall, PA teenagers favor Ocean City and Wildwood over the other Jersey Shore Points– When asking common activities, boardwalk was
often chosen• Pizza was the most liked “shore food” among
PA teenagers• The distribution of visited shore points, shore
foods, and activities at the shore are not uniformly distributed among PA teenagers
Application to Population
• The population at large could use our information– Hot spots for vacationers– Most common things to eat on vacation– Fun activities to do when at the shore
Possible Bias & Error
• Response Bias– Online survey
• Respondents may have fabricated their answers because other people could read them
• Voluntary Response– Drexel Class of 2015 Facebook Group
• Asked for responses from Pennsylvanian Teenagers• Respondents had the option whether they wanted to answer
• Undercoverage – We had 212 responses, but we only took every three so we
had 70 subjects• Decent population, but there may not be a lot of variability