The document summarizes a study that examined cartoon preferences (Spongebob Squarepants vs. Phineas and Ferb) of students from different year levels at a school. A survey found most Grade 7 students preferred Spongebob, most Second Year students preferred Spongebob, most Third Year students slightly preferred Phineas and Ferb, and preferences were evenly split in Fourth Year. Statistical analysis found no significant association between year level and cartoon preference.

2. Cartoon
Preference of
Students
between Year
Levels
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3. Spongebob
VS.
PhineAS and
ferb

4. ! Fight to the
death!
The defending The
champion
challenger
The school
decides who
wins!

5. 3, 2, 1....
FIGHT!

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
Year Level Spongebob Phineas and Tota
Squarepants and Phineas and Ferb.
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; 2 X CR = 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!
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