Question

4. The state of Georgia is considering spending $350 million on a computerized mathematics curriculum that for grades 3 – 10. They pilot the program with 250 students in grades 5 and 6 whose end-of-course test scores are compared to the state average score of 150 to see whether the program has been effective. If we are testing ?0: ? = 150 ?? ??: ? > 150, State the Type I error and Type II error in context of the problem.

Type I error:

Type II error:

Answer 1

The researcher wants to check whether the pilot program shows effect on the state average score of 150 .

Let be the population mean test score of students.

The statistical hypothesis is,

Type I error in this case occur if the state true average score is 150 but the reserarcher reject the null hypothesis .

Type II error in this case occur if the state true average score is greater than 150 but the researcher does not reject the null hypothesis .