Cartoon Preference Between Year Levels

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Project in Stat by Roxanne Bunayog, Phoebe Pangilinan and Ian Forcado.

Our first title (The one we passed) was ice cream but it failed since the ice cream would melt before we could taste-test it with our respondents so we tried french fries but it failed again so we finally came up with the title of Cartoon Preference between Year Levels :D

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Cartoon Preference Between Year Levels

  1. 1. CartoonPreference of Studentsbetween Year Levels Pangilinan | Forcado | Bunayog
  2. 2. Spongebob VS.PhineAS and ferb
  3. 3. ! Fight to the death!The defending The champion challenger The school decides who wins!
  4. 4. 3, 2, 1.... FIGHT!
  5. 5. ! The ChallengeThe table below shows how 10 students fromeach year level of Santa Rosa Science andTechnology High School responded to thequestion whether which cartoon theypreferred more between SpongebobYear Level Spongebob Phineas and TotaSquarepants and Phineas and Ferb. Squarepants Ferb l Grade 7 6 4 10Second Year 9 1 10Third Year 7 3 10Fourth Year 5 5 10 Total 27 13 40
  6. 6. Let the games begin! (Hypothesis Testing using Chi-Square Distribution)
  7. 7. ! ROUND 1: Hypotheses Ho: Year Level and Cartoon Preference are independent. Ha: Year Level and Cartoon Preference are not independent.
  8. 8. ! ROUND 2: Computations α = 0.05; df = 3; 2 X CR = 7.815Cell Number Expected Value Chi-square Value 1 6.75 0.083 2 5.75 0.533 3 6.75 0.750 4 5.75 3.924 5 6.75 0.009 6 5.75 1.315 7 6.75 0.454 8 5.75 0.098 X2COV = 7.166
  9. 9. ! ROUND 3: Decision RuleReject Ho if X2COV ≥ X2CR!ROUND 4: DecisionFail to reject Ho sinceX2COV (7.166) < X2CR (7.815)
  10. 10. ! ROUND 5: ConclusionBased on the sample, there isnot enough evidence to rejectthe claim that Year Level and Cartoon Preference are independent.
  11. 11. Who do youthink wins the game?
  12. 12. ! The results are unanimous!WINNER Better luck next time Thanks for playing!
  13. 13. EndHope you enjoyed! Pangilinan | Forcado | Bunayog

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