This document summarizes the results of a survey given to 31 Baldwin Park High School seniors. The survey included questions about demographics, academics, extracurricular activities, relationships, and drug/alcohol use. Statistical analyses were performed on the survey responses to test various hypotheses. Key findings included that the mean number of AP classes taken differed between boys and girls, opinions on relationships/procrastination did not differ by gender, and involvement in extracurricular activities matched national statistics.

1. BPHS SENIORS: THE RELATIONSHIP
BETWEEN EXTRACURRICULAR ACTIVITIES
AND ACADEMICS
BY JASMINE BUI AND DESEREA BRITO

2. HOW WE OBTAINED OUR SAMPLE
• Our population is the senior class of Baldwin Park
High School. We randomly selected a Senior English
class by picking its number out of a hat. Every Senior
English class was assigned a number on a piece of
paper. Then we put all the papers in a hat and
randomly selected one. We then conducted the
survey. Our sample was a total of 31 Baldwin Park
High School Seniors.

3. Q1.ARE YOU A MALE OR FEMALE?
•14 females
•15 males 16
•1 N/A
14
12
10
8
Series1
6
4
2
0
Girls Boys N/A

4. Q.2 WHAT IS YOUR ETHNICITY?
• 1 White
• 21 Hispanic
• 6 Asian (including Indian subcontinent
and Philippines)
• 1 Black or African American (Including
African or the Caribbean)
• 0 American Indian
• 1 Mixed

5. Q.3 WHAT IS THE HIGHEST MATH
COURSE YOU HAVE TAKEN?
• Circle One:
• Algebra 1 (0)
• Geometry (0)
• Algebra 2 (14)
• Pre-Calculus/Trigonometry (10)
• Calculus AB (3)
• Calculus BC (0)
• Stastistics (2)
• AP Statistics (1)

6. Q.4 DO YOU AGREE OR DISAGREE THAT
PROCRASTINATION HAS A NEGATIVE EFFECT ON
GPA?
• Sample Data: Females that Agree- 12/14 = .857
Males that Agree- 11/15 = .733
• Ho: The proportion of girls that agree that procrastination has a negative affect on GPA
(Pg) is equal to the proportion of boys that agree (Pb).
Pg =Pb
• Ha: The proportion of girls that agree that procrastination has a negative affect on GPA
(Pg) is NOT equal to the proportion of boys that agree (Pb).
Pg ≠ Pb
Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- A boys opinion does not affect a girls.
3. Less than 10%- 30 < 10% of BP High School senior population
4. NP > 10 = 24.853
5. N(P-1) > 10 = 4.147
• We will conduct a 2-proportion z test
2p(z≠.822)= .410
With such a high P-value, we would not reject the null hypothesis that the proportion of
girls that agree that procrastination has a negative affect on GPA is equal to the
proportion of boys that agree. This means that we would conclude that the opinion of
boys and girls upon the effect of procrastination does not differ.

7. Q.5 HOW MANY AP CLASSES HAVE YOU
TAKEN? (IN TOTAL)
• Sample Data: Girls mean- .714
Boys mean- 1.266
• Ho: The mean number of AP classes taken by girls (µg) is equal to the mean
number of AP classes taken by boys (µb).
µg= µb
• Ha: The mean number of AP classes taken by girls (µg) is NOT equal to the mean
number of AP classes taken by boys (µb).
µg≠ µb
Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- A boy’s decision to take an AP class does not affect a girl’s.
3. Less than 10%- 30 < 10% of BP High School senior population
4. Nearly Normal: The distribution is skewed to the right.
• We will conduct a 2-SampleTtest
2p(t ≠ -1.03) = .3111
With such a high P-value, we would reject the null hypothesis that the mean
number of AP classes taken by girls is equal to the mean number of AP classes by
boys. We would conclude that the mean of AP classes taken by girls is different
than that of boys.

8. Q.6 DO YOU AGREE OR DISAGREE THAT HAVING A
ROMANTIC RELATIONSHIP NEGATIVELY AFFECTS
YOUR DEDICATION TO SCHOOLWORK?
• Study: http://paa2006.princeton.edu/download.aspx?submissionId=60184
This study suggests that relationships have a more negative effect on girls than on boys.
• Sample Data: Females that Agree- 4/14 = .2857
Males that Agree- 4/15= .2667
• Ho: The proportions of girls that agree that having a romantic relationship negatively affects dedication to
schoolwork (Pg) is equal to the proportion of boys (Pb).
Pg = Pb
• Ha: The proportions of girls that agree that having a romantic relationship negatively affects dedication to
schoolwork (Pg) is greater than to the proportion of boys (Pb).
Pg > Pb
Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- A boys opinion does not affect a girls.
3. Less than 10%- 30 < 10% of BP High School senior population
4. NP > 10 = 8.2853
5. N(P-1) > 10 = 20.7147
We will conduct a 2-propZtest
2p ( z>0) = .999
With such a high P value, we would reject the null hypothesis that the proportion of girls that agree that having a
romantic relationship negatively affects dedication to school work is equal to the proportion of boys. We would
therefore believe the study’s suggestion.

9. Q.7 FOR HOW MANY TEACHERS HAVE
YOU SIGNIFICANTLY ENJOYED TAKING
THEIR CLASS?
• Sample Data: Girls mean- 3.928
Boys Mean-2.625
• Ho: The mean number of teachers enjoyed by girls (µg) is equal to the mean number
of teachers enjoyed by boys (µb) .
µg= µb
• Ha: The mean number of teachers enjoyed by girls (µb) is NOT equal to the mean
number of teachers enjoyed by boys (µb).
µg≠ µb
• Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- A boy’s enjoyment of a teacher does not affect a girl’s.
3. Less than 10%- 30 < 10% of BP High School senior population.
4. Nearly Normal: The distribution is nearly normal.
• We will conduct a 2-SampleTTest
• 2p (t ≠ 1.49) = .1463
• With such a high P value, we would reject the null hypothesis that the mean number
of teachers enjoyed by girls is equal to the mean number of teachers enjoyed by
boys. We would therefore believe that the mean is different across genders.

10. Q.8 HOW MANY EXTRACURRICULAR
ACTIVITIES ARE YOU CURRENTLY
INVOLVED IN?
• Study: http://nces.ed.gov/pubs95/web/95741.asp
This study suggests that 79.9 % of high school seniors are involved in extracurricular activities.
• Sample Data: 10 students not currently involved/ prop= .3448
18 students currently involved in 1 or more/ prop= .6206
• Ho: The proportion of students involved is as the study suggests
Px (proportion in sample)=79.9%
• Ha: The proportion of students involved is not as the study suggests
Px (proportion in sample) ≠ 79.9%
Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- One students involvement does not effect another's
3. Less than 10%- 30 < 10% of BP High School senior population
4. NP > 10 = 9.6544
5. N(P-1) > 10 = 18.3456
• We will conduct a 1-propZtest
• 2P ( z .≠ -2.390) = .01
• With such a low P value would not reject the null hypothesis that the proportion of students involved in
our study is as the online study suggests. We would believe that the proportion of students involved in
extracurricular activities is in fact 79.9%.

11. Q. 9 DO YOU AGREE OR DISAGREE THAT
EXTRACURRICULAR ACTIVITIES NEGATIVELY
AFFECT YOUR DEDICATION TO SCHOOLWORK?
• Study: http://www.csus.edu/oir/Assessment/Non-
academic%20Program%20Assessment/Student%20Activities/Student%20Activity%20Report%202009.pdf
This study suggests that extracurricular activities positively affect schoolwork
• Sample Data: Prop that agree that extracurricular activities
negatively affect your dedication to schoolwork= 7/29 = .241
Prop that disagree= 22/29=.7586
• Ho: The proportion that agree that extracurricular activities negatively affect dedication to schoolwork
is equal to the proportion that disagree
Pa=Pd
• Ha: The proportion that agree that extracurricular activities negatively affect dedication to schoolwork
is greater than the proportion that disagree
Pa> Pd
Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- One students opinion does not affect another’s.
3. Less than 10%- 30 < 10% of BP High School senior population
4. NP > 10 = 6.989
5. N(P-1) > 10 = 22.011
We will conduct a 2-propZtest
2p ( z ≠ -3.939) =8.179
With such a high P value, we reject the null hypothesis that The proportion that agree that extracurricular
activities negatively affect dedication to schoolwork is equal to the proportion that disagree. We would
therefore belive that the proportion that agrees is greater than disagrees.

12. Q.10 HOW MANY TIMES HAVE YOU BEEN
OFFERED DRUGS SINCE YOU HAVE ENTERED
HIGH SCHOOL?
• Study: http://www.teenhelp.com/teen-drug-abuse/teen-drug-abuse-statistics.html
This study suggest that 38.4% of teens in public schools report that drugs are readily available.
• Sample Data: 11 offered drugs in HS
9 offered drugs 1 or more times
• Ho: Proportion of students that drugs available (Pd) is equal to that of the study.
Pd= 38.4%
• Ha: Proportion of students that drugs available (Pd) is NOT equal to that of the study.
Pd≠ 38.4%
Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- One students involvement does not effect another's
3. Less than 10%- 30 < 10% of BP High School senior population
4. NP > 10 = 11
5. N(P-1) > 10 = 9
• We will conduct a 1-propZtest
• 2p ( z ≠ .606) = .543
• With such a high P value, we would reject the null hypothesis that the proportion of students that
agree that drugs are easily available is equal to that of the study. We would therefore believe
that the proportion is not 38.4%.

13. Q.11 DO YOU BELIEVE THAT DRUGS AND PARTYING
NEGATIVELY AFFECT YOUR DEDICATION TO
SCHOOLWORK?
• Study:http://www.nber.org/papers/w11035
• This study suggest that there is no association between drinking and academic performance.
• Sample Data: Prop that agree that drugs and partying
negatively affect dedication to schoolwork=18/30 = .6
Prop that disagree that drugs and partying
negatively affect dedication to schoolwork=12/30 = .4
Ho: The number of students that agree that drugs and partying negatively affect dedication to schoolwork
(Pa) is equal to the number of students that disagree (Pd).
Pa=Pd
Ha: The number of students that agree that drugs and partying negatively affect dedication to schoolwork
(Pa) is NOT equal to the number of students that disagree (Pd).
Pa≠Pd
Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- One studentsopinion does not effect another's
3. Less than 10%- 30 < 10% of BP High School senior population
4. NP > 10 = 18
5. N(P-1) > = 12
We will conduct a 2-propZtest
2p (z ≠ 1.549) = .1213
With such a high P value, we reject the null hypothesis that The number of students that agree that drugs
and partying negatively affect dedication to schoolwork (Pa) is equal to the number of students that
disagree . We would believe that the proportion that agree is not equal to disagree.

14. Q.12 HOW MANY TIMES HAVE YOU GONE TO A
PARTY INVOLVING UNDERAGE DRINKING AND/OR
DRUG USAGE IN THE LAST SEMESTER?
• Sample Data: Girls mean- 3.1818
Boys Mean-4.307
• Ho: The mean number of girls who went to a party involving underage drinking and/or
drug usage in the last semester (µg) is equal to the mean number of boys (µb).
• Ha: The mean number of girls who went to a party involving underage drinking and/or
drug usage in the last semester (µg) is NOT equal to the mean number of boys (µb) .
• Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- A boys opinion does not affect a girls.
3. Less than 10%- 30 < 10% of BP High School senior population
4. Nearly Normal: The distribution is U shaped.
• We will conduct a 2-SampTTest
• 2p ( t ≠.508) = .615
• With such a high P value, we would reject the null hypothesis that The mean number of
girls who went to a party involving underage drinking and/or drug usage in the last
semester is equal to the mean number of boys. We would believe that that the means
are different.

15. Q.14 ARE YOU A VIRGIN?
• Study:
http://townhall.com/news/religion/2010/10/15/70_of_high_school_students_are_virgins,_study_re
ports
This study reports that 70% of high school students are virgins.
• Sample Data: Virgins= 10
Not Virgins=12
• Ho: The proportion of virgins in the study (Px) is equal to that of the study (Ps).
Px (proportion in sample)=70%
• Ho: The proportion of virgins in the study (Px) is NOT equal to that of the study (Ps).
Px (proportion in sample)≠70%
• Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- One students abstinence does not effect another's
3. Less than 10%- 30 < 10% of BP High School senior population
4. NP > 10 = 10
5. N(P-1) > 10 = 12
We will conduct a 1-propZtest
2p (z≠ -2.51) = .011
With such a low P value, we would not reject the null hypothesis with strong evidence that the
proportion of virgins in our study is equal to that of those in the online study.

16. Q.15 DO YOU AGREE OR DISAGREE
THAT THE WHITE HAIRED LUNCH
LADY IS MEAN?
• Sample Data: Females that Agree- 10/14= .7142
Males that Agree- 11/15= .7333
• Ho: The proportion of girls that agree that the white haired lunch lady is mean is equal to the
proportion of boys that agree.
Pg (proportion of girls that agree)=Pb (proportion of boys that agree)
• Ha: The proportion of girls that agree that the white haired lunch lady is mean is NOT equal to
the proportion of boys that agree.
Pg (proportion of girls that agree)≠Pb (proportion of boys that agree)
• Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- A boys opinion does not affect a girls.
3. Less than 10%- 30 < 10% of BP High School senior population
4. NP > 10 = 2.7118
5. N(P-1) > 10 = 8.2882
• We will conduct a 2-propZtest
• 2p ( z ≠ .329) = .7418
• With such a high P value, we would reject the null hypothesis that The proportion of girls that
agree that the white haired lunch lady is mean is equal to the proportion of boys that agree.

17. CHI SQUARE
• Are gender and math level independent?
Boys Girls
Algebra 1 0 0
Geometry 0 0
Algebra 2 7 6
Pre-Calculus 5 5
Calculus AB 3 0
Calculus BC 0 0
Statistics 0 2
AP Statistics 1 0

18. CHI SQUARE CONT…
• Ho: Gender and math level are independent
• Ha: Gender and math level are NOT independent
• (Those subjects that had 0 for both subjects were excluded)
Conditions/Assumptions:
1. Randomness: We sampled the classrooms randomly (cluster)
2. Independence- One students math ability does not effect another's
3. Less than 10%- 30 < 10% of BP High School senior population
4. Expected counts >5 (All expected counts are not greater than 5)
• We will conduct a chi square test
• X^2 = 5.8289
• P= .2122
• df= 4
• With such a high p-value we would reject the null hypothesis
and conclude that there is no association between gender
and math ability.

19. CONFIDENCE INTERVALS
We are 95% confident that the true mean or proportion lies within the interval as follows:
•