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( 222

2

ectedectedobservedx

Which Jersey Shore do PA Teenagers Go To?

5

10

15

20

25

30

ALAN

TIC

CIT

Y

AVAL

ON

BRIG

ATIN

E

CAP

E M

AY

LON

G P

OR

T

MAR

GAT

E

NO

NE

O.C

.

POIN

T PL

EASA

NT

SEA

ISLE

SEA

SID

E H

EIG

HTS

STO

NE

HAR

BOR

VEN

TOR 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( 222

2

ectedectedobservedx

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

FRIE

D O

RE

OS

FRIE

S

FU

NN

EL C

AKE

ICE

CR

EAM

OTH

ER

PIZ

ZA

PO

PC

OR

N

WA

TER

ICE

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( 222

2

ectedectedobserved

x

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

BOA

TIN

G

FIS

HIN

G

JET

SK

IING

MIN

I GO

LF

OTH

ER

PAR

ASA

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 12hours_spent_2

Collection 1 Box Plot

)82057.5,808.4()(

nstx

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