Question

ach individual in a random sample of high school and college students was cross-classified with respect...

ach individual in a random sample of high school and college students was cross-classified with respect to both political views and marijuana usage, resulting in the data displayed in the accompanying two-way table. Does the data support the hypothesis that political views and marijuana usage level are independent within the population? Test the appropriate hypotheses using level of significance 0.01.

Usage Level
Never Rarely Frequently
Political
Views
Liberal 478 171 116
Conservative 211 49 13
Other 174 47 86

State the appropriate hypotheses.

H0: pij =

pi·
p·j

    i = 1, 2, 3; j = 1, 2, 3
Ha: at least one pij

pi·
p·j

H0: pij = pi· · p·j    i = 1, 2, 3; j = 1, 2, 3


Ha: at least one pij

pi· · p·j

    H0: pij

pi·
p·j

    i = 1, 2, 3; j = 1, 2, 3
Ha: at least one pij =

pi·
p·j

H0: pijpi· · p·j    i = 1, 2, 3; j = 1, 2, 3


Ha: at least one pij =

pi· · p·j


Calculate the test statistic. (Round your answer to two decimal places.)
χ2 =

What can be said about the P-value for the test?

P-value < 0.0050.005 < P-value < 0.01    0.01 < P-value < 0.0250.025 < P-value < 0.050.05 < P-value < 0.10P-value > 0.10


State the conclusion in the problem context.

Reject H0. There is no evidence that political views and level of marijuana usage are related.Fail to reject H0. There is no evidence that political views and level of marijuana usage are related.    Reject H0. There is evidence that political views and level of marijuana usage are related.Fail to reject H0. There is evidence that political views and level of marijuana usage are related.



You may need to use the appropriate table in the Appendix of Tables to answer this question.

Homework Answers

Answer #1

The statistical software output for this problem is :

B

Test statistics = 66.06

P-value < 0.005

Reject H0. There is evidence that political views and level of marijuana usage are related.

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