Question

In: Statistics and Probability

6. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of...

6. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 38 preferred the Half Pint lager, 32 preferred the XXX lager, and 10 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that the production of the premium lagers matches these consumer preferences using a 0.05 level of significance.

- State the value of the test statistic. (Round your answer to two decimal places.)

- State the decision to retain or reject the null hypothesis.

7. A psychologist studying addiction tests whether cravings for cocaine and relapse are independent. The following table lists the observed frequencies in the small sample of people who use drugs.

Obs. Freq. Relapse
Yes No
Cravings Yes 20 10 30
No 8 18 26
28 28 N = 56

Part A) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.)

Decide whether to retain or reject the null hypothesis.

Part B) Compute effect size using ϕ and Cramer's V. Hint: Both should give the same estimate of effect size. (If necessary, round your intermediate steps to two or more decimal places. Round your answers to two decimal places.)

ϕ =
V =

Solutions

Expert Solution


orchestra answered 1 year ago
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