Question

2. A drug for treating acne possibly has a side effect of decreasing patients’ sense of self-worth. To test the impact of the acne drug, researchers gather 36 acne patients who are currently taking the acne medicine and give them a survey that measures their feelings of self-worth and self-concept. This sample has a mean self-worth and self-concept of 27. If the mean self-worth and self-concept for population of all people with acne is 32 with a standard deviation of 6, can the researcher confirm that the acne drug lowers patient self-worth?

a. Complete all steps of the hypothesis test to test the null hypothesis.

Answer 1

Step 1:

H0: Null Hypothesis: 32 ( the acne drug does not lower patient self-worth)

HA: Alternative Hypothesis: 32 ( the acne drug lowers patient self-worth) (Claim)

Step 2:

Take = 0.05

From Table, critical value ofZ = - 1.64

Rejection Region:
Rejct H0 if Z < - 1.64

Step 3:
Test Statistic is given by:

Step 4:

Since calculated value of Z = - 5.00 is less than critical value of Z = - 1.64, the difference is significant. Reject null hypothesis.

Step 5:
The data data support the claim that the acne drug lowers patient self-worth.