Consider the Locations of each as urban(1), suburban (2) and rural (3).  Conduct a hypothesis test to determine whether the proportion of schools is the same for each location type.  State your null and alternative hypotheses Calculate the observed and expected values for each location. Calculate the Chi-square Test statistic and the p-value Copy and paste the table from Excel Make a clear concluding statement without using the words reject or hypothesis.     School Type of Term Location Type of School Average Total SAT TOEFL Score Room and Board Annual Total Cost Average Indebtedness ArizonaStateUniversity 1 2 0 1080 0 4.3 12.7 12.9 BallStateUniversity 1 1 0 985 1 4 12.5 8.21 Cal.StateUniv.-Fresno 1 1 0 955 0 5.4 13.1 8.761 ClemsonUniversity 1 3 0 1130 1 3.9 12.4 9.983 CollegeofWilliam&Mary 1 2 0 1295 1 4.5 19.4 13.424 FloridaInternationalUniv. 1 1 0 1135 0 2.7 10 4.139 FloridaStateUniversity 1 1 0 1180 1 4.5 11.5 16.5 GeorgeMasonUniversity 1 2 0 1055 1 5 17 13 GeorgiaStateUniversity 0 1 0 1115 0 7.4 15.4 8.08 MontclairStateUniversity 1 2 0 1025 0 5.3 10.2 4.5 NorthCarolinaStateUniv. 1 1 0 1145 1 4 14.3 14.991 OregonStateUniversity 0 1 0 1072 1 4.4 15.5 10.5 PurdueUniversity 1 1 0 1095 1 4.5 15.2 11.839 SanDiegoStateUniversity 1 1 0 945 1 6.2 13.6 6.75 SlipperyRockUniv.ofPenn. 1 3 0 955 0 3.6 12.9 17 SUNY-Binghamton 1 2 0 1039 1 4.6 13.4 6.245 TexasA&MUniversity 1 1 0 1150 1 3.9 12.7 14.1 Univ.ofGeorgia 0 1 0 1180 1 4 11.9 10.8 Univ.ofHawaii-Manoa 1 1 0 1075 0 4.7 12.6 3.617 Univ.ofHouston 1 1 0 1065 1 4.1 12.1 9.404 Univ.ofMaryland 1 2 0 1170 1 5.5 15.7 16.637 Univ.ofMass.-Amherst 1 2 0 1100 1 4.2 16.4 10.2 Univ.ofNevada-LasVegas 1 1 0 980 0 5.5 12.3 10 Univ.ofNewHampshire 1 3 0 1110 1 4.4 18.6 9.66 Univ.ofNorthCarolina-C.H. 1 1 0 1225 1 4.5 15.2 9.406 Univ.ofTexas-Austin 1 1 0 1215 1 3.9 12.9 10.2 Univ.ofVermont 1 1 0 1115 1 5.1 22.4 21.5 VirginiaCommonwealthUniv. 1 1 0 1005 1 4.3 16.3 14.73 VirginiaTech 1 3 0 1265 1 3.5 14.9 10.327 WestVirginiaUniversity 1 1 0 1025 1 4.6 11.7 10.7 BabsonCollege 1 2 1 1165 1 7.6 26.4 18 BostonCollege 1 2 1 1285 1 7.5 26.8 15.855 BostonUniversity 1 1 1 1235 1 7 27.9 14.463 BowdoinCollege 1 2 1 1345 1 6 27.8 13.64 BryantCollege 0 2 1 1080 1 6.7 20.6 18 BucknellUniversity 1 3 1 1255 1 5 25.4 12.5 CanisiusCollege 1 1 1 1143 0 5.9 18.8 14.824 CarnegieMellonUniversity 1 1 1 1335 1 6.1 25.6 15.683 CaseWesternReserveUniv. 1 1 1 1330 1 5 22.2 26.031 ClarkUniversity 1 1 1 1121 1 4.4 24.4 17.5 ColbyCollege 0 1 1 1275 1 5.7 27.9 11.63 ColgateUniversity 1 3 1 1300 1 5.9 27.6 9.236 CollegeofHolyCross 1 1 1 1275 1 6.7 26.8 12.634 EmoryUniversity 1 1 1 1310 1 6.5 26.6 15.309 FordhamUniversity 1 1 1 1150 1 7.4 23.4 8.593 Franklin&MarshallCollege 1 1 1 1260 1 4.5 26.4 11.5 GeorgeWashingtonUniversity 1 1 1 1235 1 6.9 26.7 14.368 GeorgetownUniversity 1 1 1 1330 1 7.5 27.5 14.013 GettysburgCollege 1 3 1 1200 1 4.8 26.4 11.75 HarvardUniversity 1 1 1 1465 1 7 28.9 11.65 IonaCollege 1 2 1 955 1 7.3 19.8 18 LafayetteCollege 1 1 1 1185 1 6.3 26.7 11.499 LaSalleUniversity 1 1 1 1105 0 6.7 20.8 11.7 LehighUniversity 1 1 1 1225 1 6 26.8 13.84 ManhattanCollege 1 1 1 952 1 7.1 22 9.268 NewYorkUniversity 1 1 1 1260 1 7.8 28.6 17.318 NiagaraUniversity 1 2 1 1065 0 5.4 17.6 11.577 NortheasternUniversity 0 1 1 1055 1 8.2 23.4 25.603 NorthwesternUniversity 0 2 1 1350 1 6.1 24.2 11.98 ProvidenceCollege 1 1 1 1185 1 6.7 22.9 17.5 RiceUniversity 1 1 1 1395 1 6 18 2.323 RochesterInst.Technology 0 2 1 1185 0 6.1 21.8 17.5 SeattleUniversity 0 1 1 1100 1 5.3 19.5 12 SetonHallUniversity 1 2 1 1030 1 7.1 20.8 14.9 SienaCollege 1 2 1 1095 0 5.4 17.6 18.248 SouthernMethodistUniversity 1 2 1 1150 1 5.3 21.3 12.113 St.BonaventureUniversity 1 3 1 1098 1 5.1 17.5 14 StanfordUniversity 0 2 1 1430 1 7.3 27.8 12.774 SyracuseUniversity 1 1 1 1180 1 7.2 24.3 14.5 TulaneUniversity 1 1 1 1270 1 6.3 27.5 13.845 Univ.ofChicago 0 1 1 1370 1 7.3 28.8 14.073 Univ.ofMiami 1 2 1 1145 1 7.1 25.7 16.068 Univ.ofNotreDame 1 2 1 1320 1 4.8 23.8 16.572 Univ.ofPennsylvania 1 1 1 1355 1 7.5 28.6 17.621 Univ.ofPortland 1 1 1 1135 0 4.5 18.9 13.896 Univ.ofScranton 0 1 1 1115 0 6.6 21.6 13.5 VanderbiltUniversity 1 1 1 1295 1 7.1 27.3 14.5 VillanovaUniversity 1 2 1 1242 1 7 24.8 17.125 WakeForestUniversity 1 2 1 1280 1 5.2 23.7 18.703 YaleUniversity 1 1 1 1450 1 6.7 28.9 13.574

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Consider the Locations of each as urban(1), suburban (2) and rural (3).  Conduct a hypothesis test to determine whether the proportion of schools is the same for each location type. 

  1. State your null and alternative hypotheses
  2. Calculate the observed and expected values for each location.
  3. Calculate the Chi-square Test statistic and the p-value
  4. Copy and paste the table from Excel
  5. Make a clear concluding statement without using the words reject or hypothesis.

 

 

School Type of Term Location Type of School Average Total SAT TOEFL Score Room and Board Annual Total Cost Average Indebtedness
ArizonaStateUniversity 1 2 0 1080 0 4.3 12.7 12.9
BallStateUniversity 1 1 0 985 1 4 12.5 8.21
Cal.StateUniv.-Fresno 1 1 0 955 0 5.4 13.1 8.761
ClemsonUniversity 1 3 0 1130 1 3.9 12.4 9.983
CollegeofWilliam&Mary 1 2 0 1295 1 4.5 19.4 13.424
FloridaInternationalUniv. 1 1 0 1135 0 2.7 10 4.139
FloridaStateUniversity 1 1 0 1180 1 4.5 11.5 16.5
GeorgeMasonUniversity 1 2 0 1055 1 5 17 13
GeorgiaStateUniversity 0 1 0 1115 0 7.4 15.4 8.08
MontclairStateUniversity 1 2 0 1025 0 5.3 10.2 4.5
NorthCarolinaStateUniv. 1 1 0 1145 1 4 14.3 14.991
OregonStateUniversity 0 1 0 1072 1 4.4 15.5 10.5
PurdueUniversity 1 1 0 1095 1 4.5 15.2 11.839
SanDiegoStateUniversity 1 1 0 945 1 6.2 13.6 6.75
SlipperyRockUniv.ofPenn. 1 3 0 955 0 3.6 12.9 17
SUNY-Binghamton 1 2 0 1039 1 4.6 13.4 6.245
TexasA&MUniversity 1 1 0 1150 1 3.9 12.7 14.1
Univ.ofGeorgia 0 1 0 1180 1 4 11.9 10.8
Univ.ofHawaii-Manoa 1 1 0 1075 0 4.7 12.6 3.617
Univ.ofHouston 1 1 0 1065 1 4.1 12.1 9.404
Univ.ofMaryland 1 2 0 1170 1 5.5 15.7 16.637
Univ.ofMass.-Amherst 1 2 0 1100 1 4.2 16.4 10.2
Univ.ofNevada-LasVegas 1 1 0 980 0 5.5 12.3 10
Univ.ofNewHampshire 1 3 0 1110 1 4.4 18.6 9.66
Univ.ofNorthCarolina-C.H. 1 1 0 1225 1 4.5 15.2 9.406
Univ.ofTexas-Austin 1 1 0 1215 1 3.9 12.9 10.2
Univ.ofVermont 1 1 0 1115 1 5.1 22.4 21.5
VirginiaCommonwealthUniv. 1 1 0 1005 1 4.3 16.3 14.73
VirginiaTech 1 3 0 1265 1 3.5 14.9 10.327
WestVirginiaUniversity 1 1 0 1025 1 4.6 11.7 10.7
BabsonCollege 1 2 1 1165 1 7.6 26.4 18
BostonCollege 1 2 1 1285 1 7.5 26.8 15.855
BostonUniversity 1 1 1 1235 1 7 27.9 14.463
BowdoinCollege 1 2 1 1345 1 6 27.8 13.64
BryantCollege 0 2 1 1080 1 6.7 20.6 18
BucknellUniversity 1 3 1 1255 1 5 25.4 12.5
CanisiusCollege 1 1 1 1143 0 5.9 18.8 14.824
CarnegieMellonUniversity 1 1 1 1335 1 6.1 25.6 15.683
CaseWesternReserveUniv. 1 1 1 1330 1 5 22.2 26.031
ClarkUniversity 1 1 1 1121 1 4.4 24.4 17.5
ColbyCollege 0 1 1 1275 1 5.7 27.9 11.63
ColgateUniversity 1 3 1 1300 1 5.9 27.6 9.236
CollegeofHolyCross 1 1 1 1275 1 6.7 26.8 12.634
EmoryUniversity 1 1 1 1310 1 6.5 26.6 15.309
FordhamUniversity 1 1 1 1150 1 7.4 23.4 8.593
Franklin&MarshallCollege 1 1 1 1260 1 4.5 26.4 11.5
GeorgeWashingtonUniversity 1 1 1 1235 1 6.9 26.7 14.368
GeorgetownUniversity 1 1 1 1330 1 7.5 27.5 14.013
GettysburgCollege 1 3 1 1200 1 4.8 26.4 11.75
HarvardUniversity 1 1 1 1465 1 7 28.9 11.65
IonaCollege 1 2 1 955 1 7.3 19.8 18
LafayetteCollege 1 1 1 1185 1 6.3 26.7 11.499
LaSalleUniversity 1 1 1 1105 0 6.7 20.8 11.7
LehighUniversity 1 1 1 1225 1 6 26.8 13.84
ManhattanCollege 1 1 1 952 1 7.1 22 9.268
NewYorkUniversity 1 1 1 1260 1 7.8 28.6 17.318
NiagaraUniversity 1 2 1 1065 0 5.4 17.6 11.577
NortheasternUniversity 0 1 1 1055 1 8.2 23.4 25.603
NorthwesternUniversity 0 2 1 1350 1 6.1 24.2 11.98
ProvidenceCollege 1 1 1 1185 1 6.7 22.9 17.5
RiceUniversity 1 1 1 1395 1 6 18 2.323
RochesterInst.Technology 0 2 1 1185 0 6.1 21.8 17.5
SeattleUniversity 0 1 1 1100 1 5.3 19.5 12
SetonHallUniversity 1 2 1 1030 1 7.1 20.8 14.9
SienaCollege 1 2 1 1095 0 5.4 17.6 18.248
SouthernMethodistUniversity 1 2 1 1150 1 5.3 21.3 12.113
St.BonaventureUniversity 1 3 1 1098 1 5.1 17.5 14
StanfordUniversity 0 2 1 1430 1 7.3 27.8 12.774
SyracuseUniversity 1 1 1 1180 1 7.2 24.3 14.5
TulaneUniversity 1 1 1 1270 1 6.3 27.5 13.845
Univ.ofChicago 0 1 1 1370 1 7.3 28.8 14.073
Univ.ofMiami 1 2 1 1145 1 7.1 25.7 16.068
Univ.ofNotreDame 1 2 1 1320 1 4.8 23.8 16.572
Univ.ofPennsylvania 1 1 1 1355 1 7.5 28.6 17.621
Univ.ofPortland 1 1 1 1135 0 4.5 18.9 13.896
Univ.ofScranton 0 1 1 1115 0 6.6 21.6 13.5
VanderbiltUniversity 1 1 1 1295 1 7.1 27.3 14.5
VillanovaUniversity 1 2 1 1242 1 7 24.8 17.125
WakeForestUniversity 1 2 1 1280 1 5.2 23.7 18.703
YaleUniversity 1 1 1 1450 1 6.7 28.9 13.574
Type of Term
semesters - 1, quarters - 0
urban (1), suburban (2), rural (3)
private - 1, public - 0
average combined math and verbal only
1- TOEFL >= 550, 0 - otherwise
Location
Type of School
Average Total SAT
TOEFL Score
Room and Board
Recorded in thousands of dollars
Annual Total Cost
Recorded in thousands of dollars
Average Indebtedness
Recorded in thousands of dollars
Transcribed Image Text:Type of Term semesters - 1, quarters - 0 urban (1), suburban (2), rural (3) private - 1, public - 0 average combined math and verbal only 1- TOEFL >= 550, 0 - otherwise Location Type of School Average Total SAT TOEFL Score Room and Board Recorded in thousands of dollars Annual Total Cost Recorded in thousands of dollars Average Indebtedness Recorded in thousands of dollars
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