Question

Perform a 5 step hypothesis test:

It is claimed that more than 25% of all people ages 18-25 have used illicit drugs in the past 30 days. A sample of 300 people between the ages of 18 and 25 revealed that 85 had used illicit drugs in the past 30 days. Test the claim at the .01 significance level.

Answer 1

To perform a hypothesis test, we need to state the hypotheses, formulate an analysis plan, analyze the sample data, determine the significance level, and interpret the results.

Step-by-step explanation:

To perform a hypothesis test on the claim that more than 25% of people ages 18-25 have used illicit drugs in the past 30 days, we need to follow these 5 steps:

State the hypotheses: The null hypothesis is that the proportion is 25% or less, and the alternative hypothesis is that the proportion is greater than 25%.

Formulate an analysis plan: We will use a one-sample proportion test.

Analyze sample data: In the sample of 300 people, 85 had used illicit drugs in the past 30 days.

Determine the significance level: The significance level is given as .01, which means the test will be conducted at a 1% level of significance.

Interpret the results: Using the given data, we will calculate the test statistic and compare it to the critical value at the 1% level of significance to determine if we reject or fail to reject the null hypothesis.