Question

10. (10pts) The Department of Children and Families reports that 30% of children have Attention Deficit Disorder (ADD). We conduct a research study in an attempt to prove that it is greater. In a sample of 150 children, we found that 57 children have ADD.

(a) (2pts) Develop the null and alternative hypotheses:

(b) (2pts) Using α = 0.01, what is the rejection rule?

(c) (2pts) Find the test statistic.

(d) (2pts) Should H0 be rejected?

(e) (2pts) Based on your answer in part (d), what is your conclusion as it applies to THIS SITUATION?

Answer 1

Solution:

(a) The null and alternative hypotheses are:

(b) The critical value at 0.01 significance level is:

Therefore, the rejection rule is:

(c) The test statistic is:

Where:

d) No, H0 should not be rejected because the test statistic does not fall in the rejection region.

e) Since the test statistic does not fall in the rejection region, we, therefore, fail to reject the null hypothesis and there is not enough evidence to support that more than 30% of the children have Attention Deficit Disorder