he National Center for Drug Abuse is conducting a study to determine if heroin usage among
teenagers has increased. In 2015, in a random sample of 1535 teenagers, 20 of them indicated
that have used heroin one or more times. In 2022, in a random sample of 1824 teenagers, 37
indicated they have used heroin one or more times. At the 5% level of significance, is there
evidence that the proportion of heroin use among teenagers has increased from 2015 to 2022?
a. (2 points) State the null and alternative hypotheses
0:
1:
b. (2 points) Name the calculator test you will use, list the conditions for the test, and indicate
whether or not they are met.
Conditions for Inference:
•
•
Name of calculator test used:
c. (2 points) Run the calculator test and obtain the P-value.
P-value ≈
d. (2 points) Based on your P-value, will you reject or fail to reject the null hypothesis?
Since the P-value from part c is _____________________, we will _______________ the null
hypothesis.
e. (2 points) Fill in the blanks in the statement below to write a correct interpretation of the
decision you made in part d.
At the _______% ____________________, there is ____________________ evidence that
___________________________________________________________________________