Question

The Mathematics coordinator of the senior high school thinks that 35 % have performed below the average grade in math, which is 75. She wanted to know the reason behind such below average performance. Therefore, a sample of 10 students per track were selected and results show that 40% of the students had grades that were at least equal to 75. Should the math coordinator consider the possibility that more students actually have above grades?

Answer 1

H0: p <= 0.35

Ha: p > 0.35

Test statistics

z = - p / sqrt(p(1-p) / n)

= 0.40 - 0.35 / sqrt( 0.35 * 0.65 / 10)

= 0.33

This is test statistics value.

p-value = P( Z > z)

= P( Z > 0.33)

= 0.3707

At 0.05 significance level, since p-value > 0.05 level, we do not have sufficient evidence to reject the null hypothesis.

We conclude at 0.05 level that we fail to support the claim that the math coordinator consider the

possibility that more students actually have above grades.