In 1980, 6.2% of people used illegal opioids. This year, a company wishes to use their employment drug screening to test a claim. They take a simple random sample of 2842 job applicants and find that...

In 1980, 6.2% of people used illegal opioids.

This year, a company wishes to use their employment drug screening to test a claim. They take a simple random sample of 2842 job applicants and find that 151 individuals fail the drug test for illegal opioids. They want to test the claim that the proportion of the population failing the test is lower than 6.2%. Use .10 for the significance level. Round to three decimal places where appropriate.

Hypotheses:

 Ho:p=6.2%

 H1:p<>

Test Statistic: z =

Critical Value: z =

p-value:

Conclusion About the Null:

Conclusion About the Claim:

Do the results of this hypothesis test suggest that fewer people use illegal opioids? Why or why not?