Each person in a sample of 99 subjects was asked to imagine that they had just moved to an apartment with two others and that they were shopping for a new appliance. Each subject was asked to create a menu of three brand choices for their roommates; then they were randomly assigned (in equal numbers) to one of three different "goal" conditions-(1) influence roommates to buy a preselected brand, (2) influence roomates to buy a brand of your choice, and (3) no intent to influence roomates. The researcher theorized that the menus created to influence others will likely include indesirable alternative brands. The number of menus in each goal condition that was consistent with the theory was determined. The data are summarized in the accompanying table. Analyze the data in order to determine whether the proportion of subjects who select menus consistent with the theory depends on goal condition. Use a = 0.05. E Click the icon to view the data. Specify the null and alternative hypotheses. Data Table Họ: The classifications theory consistency and goal condition are independ Ha: The classifications theory consistency and goal condition are depender Find the test statistic. Number Not Consistent with Theory with Theory Totals Number 2 =O (Round to the nearest hundredth as needed.) Consistent Goal Condition 1. Influence/preselected 16 17 33 brand 2. Influence/own brand 3. No influence 11 22 33 5 28 33

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Transcribed Image Text:Each person in a sample of 99 subjects was asked to imagine that they had just moved to an apartment with two others and that they were shopping for a new appliance. Each subject was asked to create a menu of three brand choices for their roommates; then they were randomly assigned (in equal numbers) to one of three different "goal" conditions-(1) influence roommates to buy a preselected brand, (2) influence roomates to buy a brand of your choice, and (3) no intent to influence roomates. The researcher theorized that the menus created to influence others will likely include indesirable alternative brands. The number of menus in each goal condition that was consistent with the theory was determined. The data are summarized in the accompanying table. Analyze the data in order to determine whether the proportion of subjects who select menus consistent with the theory depends on goal condition. Use a = 0.05. Click the icon to view the data. Specify the null and alternative hypotheses. Data Table Ho: The classifications theory consistency and goal condition are independ Ha: The classifications theory consistency and goal condition are depender Find the test statistic. Number Number Not (Round to the nearest hundredth as needed.) Consistent Consistent Goal Condition with Theory with Theory Totals 1. Influence/preselected 16 17 33 brand 2. Influence/own brand 11 22 33 3. No influence 28 33

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