A research study found that on average, people illegally use prescription drugs

Question

A research study found
that on average, people illegally use prescription drugs 3 times a
year. We think that the population average is different than this.
We talk to 8 people and find an average of 1.87 with a standard deviation of 1.73. Conduct a hypothesis test to see if the population average is different.
Use an alpha level of 0.05.

What’s your alternative hypothesis?
a. H1: 1.87
b. H1: > 3
c. H1: > 1.87
d. H1: 3


What is the critical value you’ll use to decide if you reject or fail to reject the null hypothesis?
a. 2.086
b.1.528
c. 2.365
d.1.860

Will you reject or fail to reject the null hypothesis?

Explanation / Answer

The hypothesis test is to see whether the claim (that people illegaly use prescription drugs different than 3 times a year), the alternativ ehypothesis is H1:mu not equal to 3. (d)

The t (sample size too samll, n<30 and population standard deviation is unknown), the critical value at df=7 (df=n-1, 8-1) and at alpha=0.05 (two-tailedd) is 2365 (c)

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