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Cartoon
  Preference of
Students between
   Year Levels
   Pangilinan | Forcado | Bunayog
Spongebob
     VS.
Phineas and Ferb
!Fight to the death!

The defending
  champion      The challenger
           The school
          decides who
              wins!
3, 2, 1....
FIGHT!
!      The Challenge
 The table below shows how 10 students from each year level
 of Santa Rosa Science and Technology High School
 responded to the question whether which cartoon they
 preferred more between Spongebob Squarepants and
 Phineas and Ferb. We used convenience sampling.
Year Level          Spongebob           Phineas and     Tota
                   Squarepants             Ferb           l
  Grade 7               6                    4           10
Second Year               9                   1          10
Third Year                7                   3          10
Fourth Year               5                   5          10
   Total                 27                   13         40
Let the games
    begin!
  (Hypothesis Testing using Chi-
      Square Distribution)
!ROUND 1: Hypotheses

        Ho: Year Level and
        Cartoon Preference
        are independent.

        Ha: Year Level and
        Cartoon Preference
        are not independent.
! ROUND 2: Computations

   α = 0.05; df = 3;       X2CR = 7.815
Cell 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
!   ROUND 3: Decision Rule

Reject Ho if X2COV ≥ X2CR


!ROUND 4: Decision
    Fail to reject Ho since
     X2COV (7.166) < X2CR
             (7.815)
!   ROUND 5: Conclusion


Based on the sample, there is not
 enough evidence to reject the
   claim that Year Level and
    Cartoon Preference are
         independent.
Who do you
think wins the
    game?
!The results are unanimous!




WINNER          Better luck next time

         Thanks for
          playing!
End
Hope you enjoyed!

   Pangilinan | Forcado | Bunayog

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Cartoon Preference Between Year Levels

  • 1.
  • 2. Cartoon Preference of Students between Year Levels Pangilinan | Forcado | Bunayog
  • 3. Spongebob VS. Phineas and Ferb
  • 4. !Fight to the death! The defending champion The challenger The school decides who wins!
  • 6. ! The Challenge The table below shows how 10 students from each year level of Santa Rosa Science and Technology High School responded to the question whether which cartoon they preferred more between Spongebob Squarepants and Phineas and Ferb. We used convenience sampling. Year Level Spongebob Phineas and Tota Squarepants Ferb l Grade 7 6 4 10 Second Year 9 1 10 Third Year 7 3 10 Fourth Year 5 5 10 Total 27 13 40
  • 7. Let the games begin! (Hypothesis Testing using Chi- Square Distribution)
  • 8. !ROUND 1: Hypotheses Ho: Year Level and Cartoon Preference are independent. Ha: Year Level and Cartoon Preference are not independent.
  • 9. ! ROUND 2: Computations α = 0.05; df = 3; X2CR = 7.815 Cell 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
  • 10. ! ROUND 3: Decision Rule Reject Ho if X2COV ≥ X2CR !ROUND 4: Decision Fail to reject Ho since X2COV (7.166) < X2CR (7.815)
  • 11. ! ROUND 5: Conclusion Based on the sample, there is not enough evidence to reject the claim that Year Level and Cartoon Preference are independent.
  • 12. Who do you think wins the game?
  • 13. !The results are unanimous! WINNER Better luck next time Thanks for playing!
  • 14. End Hope you enjoyed! Pangilinan | Forcado | Bunayog