Cartoon Preference of

Students between Year Levels

Pangilinan | Forcado | Bunayog

SpongebobVS.

PhineAS and ferb

! Fight to the death!

The defending champion

The challenger

The school decides who

wins!

3, 2, 1....FIGHT!

! The ChallengeThe 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. Year Level Spongebob

SquarepantsPhineas and

FerbTotal

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 Value1 6.75 0.0832 5.75 0.5333 6.75 0.7504 5.75 3.9245 6.75 0.0096 5.75 1.3157 6.75 0.4548 5.75 0.098    X2

COV = 7.166

!ROUND 3: Decision Rule

! ROUND 4: Decision

Reject Ho if X2COV ≥ X2

CR

Fail to reject Ho sinceX2

COV (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!

EndHope you enjoyed!Pangilinan | Forcado |

Bunayog