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



Related Solutions

A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its...
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, 41 preferred the Half Pint lager, 26 preferred the XXX lager, and 13 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences...
A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its...
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, 29 preferred the Half Pint lager, 40 preferred the XXX lager, and 11 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences...
A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its...
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, 35 preferred the Half Pint lager, 36 preferred the XXX lager, and 9 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences...
To provide three examples of how global, regional and local problems can affect the environment. half...
To provide three examples of how global, regional and local problems can affect the environment. half page per example.
The House of Manji produces three products named; Cookies; Biscuits and Weetabix whose financial data is...
The House of Manji produces three products named; Cookies; Biscuits and Weetabix whose financial data is provided below: Cookies Biscuits Weetabix Total Sales 1,150,000 1,540,000 1,350,000 4,040,000 Cost of goods sold:     Direct materials 423,000 507,000 378,000 1,308,000     Direct labour 392,000 413,000 353,000 1,158,000    Variable selling expenses 195,000 130,000 147,000 472,000    Fixed overhead expenses 705,280 Net income 396,720 The income statement above has been prepared for 5,000 units, 10,000 units and 10,000 units of Cookies, Biscuits and...
Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after...
Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target production rate. However, over the years, various changes have been made to the lines. Accordingly, management wishes to determine whether the assembly lines are still operating at the same average hourly production rate. Production data (in dune buggies/hour) for the last eight hours are as...
Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after...
Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target production rate. However, over the years, various changes have been made to the lines. Accordingly, management wishes to determine whether the assembly lines are still operating at the same average hourly production rate. Production data (in dune buggies/hour) for the last eight hours are as...
Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after...
Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target production rate. However, over the years, various changes have been made to the lines. Accordingly, management wishes to determine whether the assembly lines are still operating at the same average hourly production rate. Production data (in dune buggies/hour) for the last eight hours are as...
A local bagel shop produces bagels (B) and croissants (C). Each bagel requires 6 ounces of...
A local bagel shop produces bagels (B) and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast, and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's baking. Bagel profits are 20 cents each and croissant profits are 30 cents each. The shop wishes to maximize...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT