Subject

No. of Students Securing 70% and above

Null hypothesis

P₁ = P₂

/Z/value

If P₁ ≠ P₂

Remarks

Test of reference

School test

Language

(X₁)

28

(X₂)

23

P₁ = 0.933,

P₂ = 0.766

P₁ = P₂ (almost)

/Z/ = 1.91

Since /Z/ < 1.96, the data are consistent with null hypothesis at 5% Level of significance. This means scores of the students under X₁ and X₂ are almost in parity to each other.

Science

13

8

P₁ = 0.26, P₂ = 0.42

Null hypothesis is valid

/Z/ = 1.36

Since /Z/< 1.96, the data are consistent with null hypothesis at 5% level of significance. This means 8 students out of 13 (Thirteen) students who did well in school test, did well in test of reference, while the rest number of students failed to score 70% and above.

Math

15

5

P₁ ≠ P₂

/Z/ = 2.95

Since /Z/ > 1.96, the data are not consistent. This means that the number of students scoring 70% and above in Mathematics in our test are not in parity with those in Math of their school test.