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Statistics
Survey Project
Ernie Piña
Jocelyn Sanchez
Period 3
Gender
   Male 48 (45.3%)              Female 58 (54.72%)               N=106
   Ho: There is more females than males enrolled in high school.
   Ha: There is not more females than males enrolled in high school.
     Randomness: We conducted a stratified random sample
     Independence: One persons gender is not affected by the gender of another.
     Less than10%: 106 is less than ten percent of the population of BPHS
   We will conduct a one proportion Z test
   Z= -.00351
   P= .9997
   With a p-value so high we do not reject the null hypothesis. There are more females
    enrolled in high school than males.
Baldwin Park HS has school
spirit
   Ho: The average amount of school spirit at Baldwin Park High School is not
    independent of gender.
   Ha: The average amount of school spirit at Baldwin Park High School is independent
    of gender.
   Conditions/Assumptions:
      Randomness: We conducted a stratified random sample
      Independence: One person having school spirit does not affect another person
      Less than10%: 110 is less than ten percent of the population of BPHS
   We will conduct a Chi squared test of independence
   Chi squared: .8424
   P=.3586
   Due to the high P-value there is moderate evidence to show that opinion on school
    spirit is not independent of gender. We do not reject the null hypothesis.


                         Agree             Disagree
         Females         36 (38)           19 (16)
                                                                    *Numbers in parenthesis are
                                                                    expected values.
         Males           34 (31)           12 (14)
The courses offered at Baldwin Park are
challenging
   Ho: The average of students who believe the course at BPHS is challenging is not
    independent of gender.
   Ha: The average of students who believe the courses at BPHS is challenging is
    independent of gender.
   Conditions/Assumptions:
      Randomness: We conducted a stratified random sample
      Independence: One person taking a challenging course does not affect another
        persons academic rigor.
      Less than10%: 95 is less than ten percent of the population of BPHS
   We will conduct a Chi-Squared test of independence.
   Chi-Squared= 8.2007
   P=.0041
   DF= 1
   Because of the low P-value we would reject the null hypothesis. Believing that the courses
    at BPHS are challenging are independent of gender.

                                        Agree           Disagree
                       Females          24 (31)         34 (26)
                       Males            32 (24)         14 (21)             *Numbers in parenthesis
                                                                            are expected values.
The death penalty is justified.
   Agree 61 (55.9%)    Disagree 48 (44.03%)    N=109
   Ho: BPHS student opinion on the death penalty is independent of the national
    average. (69%) http://www.gallup.com/poll/101863/sixtynine-percent-americans-
    support-death-penalty.aspx
   Ha: BPHS students opinion on the death penalty is not independent of the national
    average.
   Conditions/Assumptions:
     Randomness: We conducted a stratified random sample
     Independence: The opinion of one student did not influence the opinion of
        another.
     Less than10%: Our sample population is less than ten percent of the BPHS
        population.
   We will conduct a chi-squared test of independence.
   Chi-squared: 5.993
   P-value: .014
   We would reject the null hypothesis because of the low p-value.
Remembering song lyrics is
easier than homework
   14 to 15:
   Ho: The average of students song lyrics is independent of grade level/age.
   Ha: The average of students who remember song lyrics is not independent of grade
    level/age.
   Conditions/Assumptions:
      Randomness: We conducted a stratified random sample
      Independence: One person remembering song lyrics does not affect another
        person remembering song lyrics.
      Less than10%: 115 is less than ten percent of the population of BPHS
   We will conduct a chi squared test of independence
   Chi-squared: 5.936
   P-value: .014
   We would reject the null hypothesis. There is evidence to suggest that remembering
    song lyrics is independent of grade level/age.
How many people have you kissed in your
lifetime?
   Males: X: 9.06       SD: 13.29  N: 35
   Females: X: 6.25     SD: 15.04  N: 53
   Ho: Guys have kissed more people in their lifetime.
   Ha: Guys have not kissed more girls in their lifetime.
   Conditions/Assumptions:
     Randomness: We conducted a stratified random sample
     Less than 10%: We have less than ten percent.
     Independent: The amount of people a person has kissed does not influence the
         amount of people another person has kissed.
   We will conduct a two sample Z test
   Z=.9207              P=.357
   With a P-Value this high we would not reject the null hypothesis. Guys in BPHS have
    kissed more people.
Do you own a computer?
   Yes: 95 (86%) No: 15 (14%) N=110
   Ho: The average of students who own a computer is not equal to the national
    average of students who own a computer. 77.1%
    http://www.bls.gov/opub/focus/volume1_number4/cex_1_4.htm
   Ha: The average of students who own a computer is equal to the national average
    of students who own a computer. 86%
   Conditions/Assumptions:
     Randomness: We conducted a stratified random sample
     Independence: One person owning a computer does not affect another person
     Less than0%: 95 is less than ten percent of the population of BPHS
   We will conduct a one proportion z test
   Z=2.21
   P-value= .0135
   With a p-value so low we would reject the null hypthesis.
The legalization of marijuana
would benefit America.
   Agree: 46 (40.35%) Disagree: 68 (59.65%) N=114
   Ho: The number of students who believe the legalization of marijuana would be
    good for America is not equal to that of the national average. (40%)
    http://www.pollingreport.com/drugs.htm
   Ha: The number of students who believe the legalization of marijuana would be
    good for America is equal to the national average.
   Conditions/Assumptions:
     Randomness: We conducted a stratified random sample
     Independence: The opinion of one student did not effect the opinion of the
        other.
     Less than 10%: Our population of 114 is less than ten percent of the entire school
        population.
   We will conduct a one proportion z test
   Z=-4.21
   P=1.27x10-5
   With such a low p value we would reject the null hypthesis.
How many times have you been exposed to
or have done illegal substances in the past
month
   99 (86%) Agree       16 (14%) Disagree
   Ho: The average of students who are for the legalization of marijuana is not equal to
    the national average of students who are for it.
             Exposed: 42%             Not Exposed: 58%
    http://journals.lww.com/journaladdictionmedicine/Fulltext/2011/03000/Gender_Diffe
    rences_in_Adolescent_Marijuana_Use_and.10.aspx
   Ha: The average of students who own a computer is equal to the national average
    of students who own a computer. 86% M1=M2
   Conditions/Assumptions:
     Randomness: We conducted a stratified random sample
     Independence: One person owning a computer does not affect another person
     Less than10%: 95 is less than ten percent of the population of BPHS
How many sports have you
participated in, in the past six months?
   Sports: 72 (66%)    No Sports: 36 (34%)      N=108
   Ho: The number of BPHS students who participate in sports is significantly greater
    than the national average. 32.1% http://www.teenhelp.com/teen-issues/sports-
    participation.html
   Ha: The number of BPHS students who participated in sports is significantly lower than
    the national average.
   Conditions/Assumptions:
     Randomness: We conducted a stratified random sample
     Independence: One person participating in a sport does not affect another
        person
     Less than10%: 101 is less than ten percent of the population of BPHS
   We will conduct a one proportion z test
   Z=7.12
   P=.0154
   With a low p value we would reject the null hypothesis.

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Survey project

  • 2. Gender  Male 48 (45.3%) Female 58 (54.72%) N=106  Ho: There is more females than males enrolled in high school.  Ha: There is not more females than males enrolled in high school.  Randomness: We conducted a stratified random sample  Independence: One persons gender is not affected by the gender of another.  Less than10%: 106 is less than ten percent of the population of BPHS  We will conduct a one proportion Z test  Z= -.00351  P= .9997  With a p-value so high we do not reject the null hypothesis. There are more females enrolled in high school than males.
  • 3. Baldwin Park HS has school spirit  Ho: The average amount of school spirit at Baldwin Park High School is not independent of gender.  Ha: The average amount of school spirit at Baldwin Park High School is independent of gender.  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Independence: One person having school spirit does not affect another person  Less than10%: 110 is less than ten percent of the population of BPHS  We will conduct a Chi squared test of independence  Chi squared: .8424  P=.3586  Due to the high P-value there is moderate evidence to show that opinion on school spirit is not independent of gender. We do not reject the null hypothesis. Agree Disagree Females 36 (38) 19 (16) *Numbers in parenthesis are expected values. Males 34 (31) 12 (14)
  • 4. The courses offered at Baldwin Park are challenging  Ho: The average of students who believe the course at BPHS is challenging is not independent of gender.  Ha: The average of students who believe the courses at BPHS is challenging is independent of gender.  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Independence: One person taking a challenging course does not affect another persons academic rigor.  Less than10%: 95 is less than ten percent of the population of BPHS  We will conduct a Chi-Squared test of independence.  Chi-Squared= 8.2007  P=.0041  DF= 1  Because of the low P-value we would reject the null hypothesis. Believing that the courses at BPHS are challenging are independent of gender. Agree Disagree Females 24 (31) 34 (26) Males 32 (24) 14 (21) *Numbers in parenthesis are expected values.
  • 5. The death penalty is justified.  Agree 61 (55.9%) Disagree 48 (44.03%) N=109  Ho: BPHS student opinion on the death penalty is independent of the national average. (69%) http://www.gallup.com/poll/101863/sixtynine-percent-americans- support-death-penalty.aspx  Ha: BPHS students opinion on the death penalty is not independent of the national average.  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Independence: The opinion of one student did not influence the opinion of another.  Less than10%: Our sample population is less than ten percent of the BPHS population.  We will conduct a chi-squared test of independence.  Chi-squared: 5.993  P-value: .014  We would reject the null hypothesis because of the low p-value.
  • 6. Remembering song lyrics is easier than homework  14 to 15:  Ho: The average of students song lyrics is independent of grade level/age.  Ha: The average of students who remember song lyrics is not independent of grade level/age.  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Independence: One person remembering song lyrics does not affect another person remembering song lyrics.  Less than10%: 115 is less than ten percent of the population of BPHS  We will conduct a chi squared test of independence  Chi-squared: 5.936  P-value: .014  We would reject the null hypothesis. There is evidence to suggest that remembering song lyrics is independent of grade level/age.
  • 7. How many people have you kissed in your lifetime?  Males: X: 9.06 SD: 13.29 N: 35  Females: X: 6.25 SD: 15.04 N: 53  Ho: Guys have kissed more people in their lifetime.  Ha: Guys have not kissed more girls in their lifetime.  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Less than 10%: We have less than ten percent.  Independent: The amount of people a person has kissed does not influence the amount of people another person has kissed.  We will conduct a two sample Z test  Z=.9207 P=.357  With a P-Value this high we would not reject the null hypothesis. Guys in BPHS have kissed more people.
  • 8. Do you own a computer?  Yes: 95 (86%) No: 15 (14%) N=110  Ho: The average of students who own a computer is not equal to the national average of students who own a computer. 77.1% http://www.bls.gov/opub/focus/volume1_number4/cex_1_4.htm  Ha: The average of students who own a computer is equal to the national average of students who own a computer. 86%  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Independence: One person owning a computer does not affect another person  Less than0%: 95 is less than ten percent of the population of BPHS  We will conduct a one proportion z test  Z=2.21  P-value= .0135  With a p-value so low we would reject the null hypthesis.
  • 9. The legalization of marijuana would benefit America.  Agree: 46 (40.35%) Disagree: 68 (59.65%) N=114  Ho: The number of students who believe the legalization of marijuana would be good for America is not equal to that of the national average. (40%) http://www.pollingreport.com/drugs.htm  Ha: The number of students who believe the legalization of marijuana would be good for America is equal to the national average.  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Independence: The opinion of one student did not effect the opinion of the other.  Less than 10%: Our population of 114 is less than ten percent of the entire school population.  We will conduct a one proportion z test  Z=-4.21  P=1.27x10-5  With such a low p value we would reject the null hypthesis.
  • 10. How many times have you been exposed to or have done illegal substances in the past month  99 (86%) Agree 16 (14%) Disagree  Ho: The average of students who are for the legalization of marijuana is not equal to the national average of students who are for it. Exposed: 42% Not Exposed: 58% http://journals.lww.com/journaladdictionmedicine/Fulltext/2011/03000/Gender_Diffe rences_in_Adolescent_Marijuana_Use_and.10.aspx  Ha: The average of students who own a computer is equal to the national average of students who own a computer. 86% M1=M2  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Independence: One person owning a computer does not affect another person  Less than10%: 95 is less than ten percent of the population of BPHS
  • 11. How many sports have you participated in, in the past six months?  Sports: 72 (66%) No Sports: 36 (34%) N=108  Ho: The number of BPHS students who participate in sports is significantly greater than the national average. 32.1% http://www.teenhelp.com/teen-issues/sports- participation.html  Ha: The number of BPHS students who participated in sports is significantly lower than the national average.  Conditions/Assumptions:  Randomness: We conducted a stratified random sample  Independence: One person participating in a sport does not affect another person  Less than10%: 101 is less than ten percent of the population of BPHS  We will conduct a one proportion z test  Z=7.12  P=.0154  With a low p value we would reject the null hypothesis.