Subject

No. of Students

Null hypothesis

P1 = P2

/Z/ value

if P1 ≠ P2

Remarks

Securing 70% and above

Test of reference

School test

Language

Test (X1)

28

(X2)

18

P1 = 0.933,

P2 = 0.600

P1 = P2 (almost)

/Z/ = 3.20

Since /Z/ > 1.96, Scores (70% and above) obtained by the students (X1 = 28, X2 = 18) on the basis of test of reference and those of school test are not consistent. This is because of the fact that the students who can do well in M.C.Q are not comfortable with memory based test of the school.

Science

(X1)

5

(X2)

17

P1 = 0.23, P2 = 0.77

P ≠ P₂

/Z/ = 2.25

Since /Z/ > 1.96, the scores of the both the tests are not consistent. So there is no significance in correct answer given by the students in our test of reference, while a good number of students (more than 50%) do well in school test in which students feel comfortable since school test questions mostly advocate for memorization.

Math

27

18

P1 = 0.90, P2 = 0.60 P₁ ≠ P₂

/Z/ = 2.8

Since /Z/ > 1.96, Scores of two tests are not consistent. Thus these are not significant at 5% level of significance. In school examination the students find little scope to do well, while in M.C.Q pattern of question they feel much comfortable.