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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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$### Analysis of Influence on Roommate's Brand Choices Based on Goal Condition Each person in a sample of 99 subjects was asked to imagine that they had just moved to an apartment with two others and were shopping for a new appliance. The task required each subject to create a menu of three brand choices for their roommates. Subjects were randomly assigned (in equal numbers) to one of three different "goal" conditions: 1. **Influence roommates to buy a preselected brand.** 2. **Influence roommates to buy a brand of their choice.** 3. **No intent to influence roommates.** The researcher theorized that menus created to influence others would likely include undesirable alternative brands. The study recorded the number of menus in each goal condition that were consistent with the theory. The aim was to analyze whether the proportion of subjects choosing menus consistent with the theory depends on the assigned goal condition. The significance level (α) for the test was set at 0.05. **Hypotheses:** - **Null Hypothesis (H₀):** The classifications theory consistency and goal condition are independent. - **Alternative Hypothesis (Hₐ):** The classifications theory consistency and goal condition are dependent. **Data Summary:** The data collected for the study is summarized in the table below: #### Data Table | Goal Condition | Number Consistent with Theory | Number Not Consistent with Theory | Totals | |---------------------------------------------|-------------------------------|----------------------------------|--------| | 1. Influence/preselected brand | 16 | 17 | 33 | | 2. Influence/own brand | 11 | 22 | 33 | | 3. No influence | 5 | 28 | 33 | | **Totals** | **32** | **67** | **99** | **Instructions:** 1. Specify the null and alternative hypotheses: - H₀: The classifications theory consistency and goal condition are independent. - Hₐ: The classifications theory consistency and goal condition are dependent. 2. Find the test statistic (Chi-square test). - Χ² = {\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_} (Round to the nearest hundredth as needed.) This setup is typically used in educational settings to show how categorical data can$

Transcribed Image Text:### Analysis of Influence on Roommate's Brand Choices Based on Goal Condition Each person in a sample of 99 subjects was asked to imagine that they had just moved to an apartment with two others and were shopping for a new appliance. The task required each subject to create a menu of three brand choices for their roommates. Subjects were randomly assigned (in equal numbers) to one of three different "goal" conditions: 1. **Influence roommates to buy a preselected brand.** 2. **Influence roommates to buy a brand of their choice.** 3. **No intent to influence roommates.** The researcher theorized that menus created to influence others would likely include undesirable alternative brands. The study recorded the number of menus in each goal condition that were consistent with the theory. The aim was to analyze whether the proportion of subjects choosing menus consistent with the theory depends on the assigned goal condition. The significance level (α) for the test was set at 0.05. **Hypotheses:** - **Null Hypothesis (H₀):** The classifications theory consistency and goal condition are independent. - **Alternative Hypothesis (Hₐ):** The classifications theory consistency and goal condition are dependent. **Data Summary:** The data collected for the study is summarized in the table below: #### Data Table | Goal Condition | Number Consistent with Theory | Number Not Consistent with Theory | Totals | |---------------------------------------------|-------------------------------|----------------------------------|--------| | 1. Influence/preselected brand | 16 | 17 | 33 | | 2. Influence/own brand | 11 | 22 | 33 | | 3. No influence | 5 | 28 | 33 | | **Totals** | **32** | **67** | **99** | **Instructions:** 1. Specify the null and alternative hypotheses: - H₀: The classifications theory consistency and goal condition are independent. - Hₐ: The classifications theory consistency and goal condition are dependent. 2. Find the test statistic (Chi-square test). - Χ² = {\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_} (Round to the nearest hundredth as needed.) This setup is typically used in educational settings to show how categorical data can

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