Question

A nonprofit company concerned with the school dropout rates has designed a tutoring program aimed at students between 16 to 18 years old. A national center for educational statistics reported that the high school dropout rate for the year 2000 was 9.4​%.  One school​ district, who adopted the use of the​ nonprofit's tutoring program and whose dropout rate has always been very close to the national​ average, reported in 2004 that 156 of their 1751 students dropped out. Is their experience evidence that the tutoring program has been​ effective?

Answer 1

H₀: P = 0.094

H₁: P 0.094

= 156/1751 = 0.0891

The test statistic is

   

At 0.05 significance level, the critical values are +/- z_0.025 = +/- 1.96

Since the test statistic value is not less than the lower critical value, so we should not reject the null hypothesis.

At 0.05 significance level, there is not sufficient evidence to conclude that the tutoring program has been effective.