Question

In 2002, 5.6% of people used marijuana.

This year, a company wishes to use their employment drug screening to test a claim. They take a simple random sample of 1719 job applicants and find that 83 individuals fail the drug test for marijuana. They want to test the claim that the proportion of the population failing the test is lower than 5.6%. Use .10 for the significance level. Round to three decimal places where appropriate.

Hypotheses: H o : p = 5.6 % H 1 : p < 5.6 %

Test Statistic: z =

Critical Value: z =

p-value:

Conclusion About the Null:

A) Reject the null hypothesis

B)Fail to reject the null hypothesis

Conclusion About the Claim:

A)There is sufficient evidence to support the claim that the proportion of the population failing the test is lower than 5.6%

B)There is NOT sufficient evidence to support the claim that the proportion of the population failing the test is lower than 5.6%

C)There is sufficient evidence to warrant rejection of the claim that the proportion of the population failing the test is lower than 5.6%

D)There is NOT sufficient evidence to warrant rejection of the claim that the proportion of the population failing the test is lower than 5.6%

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

Answer 1

Test Statistic: z =-1.391

Critical Value: z =-1.28

p-value:0.082

Conclusion About the Null:

A) Reject the null hypothesis

Conclusion About the Claim:

A)There is sufficient evidence to support the claim that the proportion of the population failing the test is lower than 5.6%

Do the results of this hypothesis test suggest that fewer people use marijuana?

Yes the results suggests that fewer people use marijuana because a sample proportion is a representation of population proportion and hence we have concluded that people who fail the drug test are less than 5.6% which implies that the proportion of people in the population who use marijuana are less than 5.6% thus fewer people use marijuana.

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