A Statistics Project from my Senior Year.

1. AP Stats Survey Project Maria Rodriguez Janelle Jones Period 4

5. Confidence Intervals Cont. Q10: Do you like to listen to music? - (-1.009,-.9441)

6. Finding a similar study Conducting a hypothesis test Stating the hypothesis : Ho : Our results about the average amount of individuals whom watch TV shows in our survey agree with the larger study we found. Ha : Our results don’t agree with the larger study we found.

7. Cont… Similar study 2. Assumptions and Conditions Randomness : Questionnaires were sent to about 5000 people who were registered in the category of Japan of pen pal service, and who indicated that they are willing to participate in surveys. 10 % Condition : 805 valid responses from Japanese people who live in Japan were considered in this larger study. Less than 10% of total Japanese population.

8. Cont … Similar study 3. We’ll be using the 2- Sample T test . 4. Do the math : Mean our study: 18.12 SD: 13.0 n: 25 Mean of the larger study: 250.3 SD: 22.9 N: 2003

9. Cont…Similar study 5 . In conclusion with such a low p-value of 1.47 X 10 ^ -33 , we must reject the null hypothesis. There is strong evidence that suggests that the mean amount of individuals whom watched TV shows in our survey disagree with the mean results of the larger study. (http://www.japan-guide.com/topic/0107.html)

10. The X² Test 1. State the hypothesis: Ho: Students in different grade levels show no difference in opinions towards romantic films. Ha: Students in different grade levels show a difference in opinion towards romantic films.

11. Cont … The X² Test Assumptions and Conditions Randomness: We sampled randomly selected classrooms for our survey. 10% Condition: The three classrooms involved in our survey made up less than 10 % of all classrooms.

12. Cont… The X² Test 3. We’ll be using the x² test. 4. d.f.= 3 ; a= 0.05 X² = [(9 – 14.94) ²/ 14.94] + [(5 – 4.48) ²/ 4.48] + [(8 – 7.47) ²/ 7.47] + [(37 – 32.11) ² /32.11] + [(11 - 8.16) ²/8.16] + [(1 – 1.52) ²/1.52] + [(2 – 2.53) ² / 2.53] + [(6 – 10.89) ² / 10.89] = 6.782 6.782 < 7.81

13. Cont… The X² Test 5. Conclusion: Since, 6.782 > 7.81, we can not reject the null hypothesis. Therefore, there isn’t sufficient evidence that suggest there is a difference between opinions among the distinct grade levels.

14. Q3 Hypothesis Test Conduct hypothesis tests comparing the means of affirmative responses for males vs. females at a = 0.05. Comparing means of affirmative responses for males vs. females: 1. State the hypothesis Ho: M f = M m M f: mean number of comedy shows watched by females, M m: mean number of comedy shows watched by males Ha: M f ≠ M m M f- M m = 0 M f- M m≠ 0

15. Q3 Hypothesis Test 2. Assumptions and Conditions Randomness: Our sample of female and male students was randomly selected for this survey. Independent: Each individual response of the students no matter if they are female or male was independent of each others responses. 10 % Condition: The three classrooms selected to be in this survey make up less than 10 % of the total classrooms.

16. Q3 Hypothesis Test 3. We’ll conduct a 2– sample t test. 4. M f : 1.632 n: 49 Std: 2.31 M m: 2.06 n : 36 Std : 2.67

17. Q3 Hypothesis Test In conclusion, at a = 0.05 , with such a significant p value as 0.442, we can not reject our null hypothesis. There isn’t sufficient evidence that suggest that the mean number of comedy shows watched between female and male students is not the same.