Subject

No. of Students

Null hypothesis

/Z/ value

If P₁ ≠ P₂

Remarks

Securing 70% and above in

Language

Test of reference

(X₁)

30

School Test

(X₂)

24

P₁ = 1, P₂ = 0.8

P₁ = P₂ (almost)

/Z/ = 1.42

Since /Z/ < 1.96, Scores of both the Test are consistent and are significant at 5% level of significance. This means that the students are comfortable to recall memory and-answer point wise

Science

22

13

P₁ = 0.26, P₂ = 0.13.This means P₁ ≠ P₂

/Z/ = 2.72

Since /Z/ > 1.96, Scores of both the tests are not consistent and are not significant at 5% level of significance. This means the students are not comfortable with science. This focuses on the fact that 50% students may belong to divergent thinking.

Math

18

16

P₁ = 0.73, P₂ = 0.53

P₁ = P₂ (almost)

=1.81

Since /Z/ < 1.96, the scores of both the tests are found consistent. This means that the performances of the students are significant at 5% Level of significance.