1. The document reports the results of 8 statistical analyses conducted on data collected from students at BPHS. 2. For each analysis, the null and alternative hypotheses are stated along with assumptions and the statistical test used. 3. The conclusions for 6 of the analyses find no significant differences or associations, while 2 analyses find significant differences from population averages.

1. Statistics Questionnaire
Luis Nunez
Bonn Hidalgo
Period 3

2. Question 1:
Have you ever experience waking up from your sleep and feeling paralyzed?
(Waking Sleep Paralysis)
Yes = 33 (37%) No = 56 (63%) n=89
Ho: BPHS experience of Waking Sleep Paralysis is the same as average at Carlton
University, Ottawa, Canada
p = .21 (http://www.sciencedirect.com/science/article/pii/S0092656685710173)
Ha: p ≠ 21%
Conditions/Assumptions:
Randomness – we sampled classrooms randomly (cluster)
Independence – one person’s experience of waking sleep paralysis does not affect
another
Less than 10% - 89 is less than 10% of population of Carlton University
Success/Failure – np = 89(.37) = 32.93 > 10
n(1-p) = 89(.63) = 56.07 > 10
We will conduct a 1-Proportion z-Test
With a P-value so low, we reject the Ho. There is evidence that BPHS students
experience Waking Sleep Paralysis differently than the population at Carlton
University.

3. Question 2:
How many television sets are in your household?
BPHS mean: 3.92
Ho: µ = 2.24 Ha: µ ≠ 2.24
Conditions/Assumptions:
Random – we sampled classrooms randomly (cluster)
Independence – one person does not affect the number of television in
another’s household
Less than 10% - 89 is less than 10% of the U.S. population
We will conduct a t-Test for means
With a P-value so low, we reject the Ho. There is evidence that BPHS
students have different numbers of television sets, on average, than the
population of the U.S.

4. Question 3
Do you own any type of game console?
Yes = 77 (87%) No = 12 (13%) n=85
Ho: proportion of BPHS students who own at least 1 game console is the
same as national average
P = .524 (http://www.gizmag.com/go/7002/)
Ha: p ≠ .524
Conditions/Assumptions:
Randomness – we sampled classrooms randomly (cluster)
Independence – one person’s ownership of game console does not affect
another’s
Less than 10% - 85 is less than 10% of U.S. population
Success/Failure – np = 89(.87) = 77.43 > 10
n(1-p) = 89(.13) = 11.57 > 10
We will conduct a 1-Proportion z-Test
With a P-value so low, we reject the Ho. There is evidence that the
proportion of BPHS students that own a game console differs from the
national average.

5. Question 4
How many text messages do you send per month?
BPHS mean: 3904
Ho: µ = 3339 Ha: µ ≠ 3339 n = 58
http://www.mobileburn.com/news.jsp?Id=11267
Conditions/Assumptions:
Random – we sampled classrooms randomly (cluster)
Independence – one person does not affect the number of television in
another’s household
Less than 10% - 58 is less than 10% of the U.S. population
We will conduct a t-Test for means
With a P-value so high, we do not reject the Ho. There is no evidence that
BPHS students send text messages at a different rate than the general
population.

6. Question 5
Is believing that Batman is superior or not to Superman independent
of grade level?
Ho: Opinionating that Batman is superior to Superman is independent of
grade (10th or 12th grade)
Ha: There is an association between believing Batman is superior to
Superman and grade
Assumptions/Conditions:
Randomness – we sampled classrooms randomly (cluster)
Less than 10% - there is less than 10% if all humans
Expected counts – all are greater than 5
We will perform a Chi-Squared test
df = (2-1)(2-1) = 1
With a P-value so high, we do not reject the Ho. There is evidence that
believing that Batman is superior to Superman or not is independent of
grade.

7. Question 6
Is believing that a car is a more effective from of transportation than a
train or not independent of grade level?
Ho: Opinionating that car is a more effective from of transportation than a
train or not is independent of grade (10th or 12th grade)
Ha: There is an association between believing a car is a more effective from
of transportation than a train or not and grade level
Assumptions/Conditions:
Randomness – we sampled classrooms randomly (cluster)
Less than 10% - there is less than 10% if all humans
Expected counts – all are greater than 5
We will perform a Chi-Squared test
df = (2-1)(2-1) = 1
With a P-value so high, we do not reject the Ho. There is evidence that
believing that opinionating that car is a more effective from of transportation
than a train or not is independent of grade (10th or 12th grade).

8. Question 7
Is experiencing waking sleep paralysis independent of grade level?
Ho: Experiencing waking sleep paralysis is independent of grade (10th or
12th grade)
Ha: There is an association between experiencing waking sleep paralysis
and grade level
Assumptions/Conditions:
Randomness – we sampled classrooms randomly (cluster)
Less than 10% - there is less than 10% if all humans
Expected counts – all are greater than 5
We will perform a Chi-Squared test
df = (2-1)(2-1) = 1
With a P-value so high, we do not reject the Ho. There is evidence that
experiencing sleep paralysis is independent of grade level.

9. Question 8
Is witnessing someone in possession or in use of illegal drugs on
campus independent of grade?
Ho: Witnessing someone in possession or in use of illegal drugs on campus
is independent of grade (10th or 12th grade)
Ha: There is an association between witnessing someone in possession or
in use of illegal drugs on campus and grade level
Assumptions/Conditions:
Randomness – we sampled classrooms randomly (cluster)
Less than 10% - there is less than 10% if all humans
Expected counts – all are greater than 5
We will perform a Chi-Squared test
df = (2-1)(2-1) = 1
With a P-value so high, we do not reject the Ho. There is evidence that
believing that opinionating that car is a more effective from of transportation
than a train or not is independent of grade (10th or 12th grade).