AP Statistics Survey
- 1. AP Statistics Survey ProjectLiana ParchamentoSamantha TranAmy CunAP StatisticsPeriod 4May 30, 2011
- 2. Questions1.) How many classes do you like this year?2.) How many times do you go out with friends?3.) How many teachers do you hate?4.) How many times have you been out of the country?5.) How many times do you go on Facebook every week? 6.) Have you ever been in love?7.) Do you believe in ghosts?8.) Can you fit your fist in your mouth?9.) Did you just try it right now?10.) Is high school stressful for you?
- 3. Confidence Intervals: 90%1.)(3.56 < μ < 4.29)2.)(2.149 < μ < 4.55)3.)(1.143< μ < 1.857)4.)(2.317< μ < 4.121)5.)(1.422< μ < 3.000)
- 4. Confidence interval: 90%6.)(0.724< μ < 0.875)7.)(.4389< μ < .6281)8.)(-.0039< μ < .0573)9.)(.01066< μ < .0960)10.)(0.398< μ < .5883)
- 5. 3. Do you dislike your teachers?Hypothesis: H₀: p= .25 , Ha: p≠ .25Conditions: Randomness: Samples were randomly selected 10 % condition : 75 students are likely < 10%. Independent: The perceptions of one student might effect the other but we assume they are independent.Name the test: 1-prop z-testDo the test: z= (p hat-p)/ (√pq/n)Z= (.44 - .25)/ (√ .25(.75) / 75)Z= -2.646 P=.008Conclusion: Due to such a low P-value of .008, we reject the null hypothesis. There is strong evidence that high school work is stressful for high school students.
- 6. 5. What percent of log on to Facebook everyday?Hypothesis: H₀: p=.5 , Ha: p≠.5Conditions: Randomness: Samples were randomly selected 10 % condition : 75 students are likely < 10%. Independent: The beliefs of one student might effect the other but we assume they are independent.Name the test: 1-prop z-testDo the test:(p hat-p)/ (√pq/n) Z= (.63 - .5)/ (√.5(.5)/75)Z= 2.19 P=.627Conclusions: Because of the large p-value of .627, we do not reject the null hypothesis. There isn’t sufficient evidence to conclude that the percentage of people that log on to Facebookis not 50%
- 7. 6. Have you ever been in love?Hypothesis: H₀: p= .65 , Ha: p≠ .65Conditions: Randomness: Samples were randomly selected 10 % condition : 75 students are likely < 10%. Independent: The beliefs of one student might effect the other but we assume they are independent.Name the test: 1-prop z-testDo the test: (p hat-p)/ (√pq/n )Z= (.80-.65)/ (√.65(.35)/75)Z=2.72 P=.0064Conclusions: Because we have such a low p-value of .0064, we have sufficient evidence to reject the null hypothesis. This concludes that the average of 65% is not true.
- 8. 7. Do you believe in ghosts?Hypothesis: H₀: p= .48 , Ha: p≠ .48Conditions: Randomness: Samples were randomly selected 10 % condition : 75 students are likely < 10%. Independent: The beliefs of one student might effect the other but we assume they are independent.Name the test: 1-prop z-testDo the test: z= (p hat-p)/ (√pq/n)Z= (.53 - .48)/ (√ .48(.52) / 75)Z= .057 P=.954Conclusion: With such a high P-value of .954, we do not reject the null hypothesis. There is not enough evidence to state that population believes in ghosts
- 9. 10. Is high school stressful for you?Hypothesis: H₀: p= .64 , Ha: p≠ .64Conditions: Randomness: Samples were randomly selected 10 % condition : 75 students are likely < 10%. Independent: The stress level of one student does not effect the otherName the test: 1-prop z-testDo the test: z= (p hat-p)/( √pq/n)Z= (.49 - .64)/ (√ .64(.36) / 75)Z= -2.646 P=.008Conclusion: Due to such a low P-value of .008, we reject the null hypothesis. There is strong evidence that high school work is stressful for high school students.Don’t get mad Mr. Eastvedt (:
- 10. Links to Larger StudiesQ3http://www.citizing.org/data/pdfs/sso/SSOSurveyResults_Enrollment.pdfQ5http://www.facebook.com/press/info.php?statisticsQ6http://postyour.info/statistics/have-you-ever-been-in-love.htmQ7http://www.cbsnews.com/stories/2005/10/29/opinion/polls/main994766.shtmlQ10Qhttp://www.gallup.com/poll/11842/teens-see-school-stress-health-risk.aspx
- 11. Males vs. Females: Question 7Ho : P1 = P2 Ha : P1 ≥ P2 P1: prop of males that answered yes P2: prop of females that answered yes2. Conditions: Randomness: Data was randomly selected10%: Less than 10% of the whole population was surveyedIndependence: One person’s answer did not affect another’sA sufficient amount of people were surveyed: np ≥5 nq ≥5 M: 42(24/42)=24 F: 33(16/33)=163. We conduct a 2-prop Z-test4. Do the math: Z= .746 P= .2285. Conclusion: Due to the high p-value of .228, we do not reject the null hypothesis. We do not have enough evidence to say that the proportion of males answering yes is greater than the number of females answering yes to the question.
- 12. Chi2 Test: Question 6Ho: Being in love is independent of grade level Ha: Being in love is dependent of grade levelObserved: Expected:Chi2= .78 P=.85 df=3Because our p-value of .85 is so high we do not reject the null hypothesis. There isn’t sufficient to suggest that being in love is dependent of grade level.
- 13. Chi2 Test: Question 7Ho: Believing in ghosts is independent of grade level Ha: Believing in ghosts is dependent of grade levelObserved: Expected:Chi2 = 5.3 P=1.5 df=3Because our p-value of 1.5 is so big we do not reject the null hypothesis. There is not enough evidence to suggest that believing in ghosts is dependent of grade level.
- 14. Chi2Test: Question 8Ho: Fitting a fist in the mouth is independent of grade level Ha: Fitting a fist in the mouth is dependent of grade levelObserved: Expected:Chi2 = 3.2 P=.359 df= 3Because our p-value is so high we do not reject the null hypothesis. There is not enough evidence to suggest that fitting a fist in the mouth is dependent of grade level.
- 15. Chi2Test: Question 9Ho: Trying question 8 is independent of grade level Ha: Trying question 8 is dependent of grade levelObserved: Expected:Chi2 = 6.6 P=.085 df=3Because our p-value is relatively small there is sufficient evidence to suggest that trying question 8 was dependent of grade level. We do reject the null hypothesis.
- 16. Chi2Test: Question 10Ho: Thinking high school is stressful is independent of grade level Ha: Thinking high school is stressful is dependent of grade levelObserved: Expected:Chi2 = .789 P=.852 df=3Because the p-value is so high we do not reject the null hypothesis. There is not enough evidence to suggest that students think high school is stressful based on grade level