### Analysis of Favorite Sports across Different Cities#### Research ScenarioA marketing executive is investigating if the favorite sport of individuals varies across three different cities. The data was collected and organized into the following table: | City | Football | Baseball | Soccer | Basketball | Other ||---------------|----------|----------|--------|------------|-------|| Santa Barbara | 18 | 21 | 12 | 23 | 10 || Oxnard | 24 | 11 | 28 | 15 | 14 || Los Angeles | 22 | 25 | 15 | 34 | 11 |#### Research QuestionCan the marketing executive conclude that the favorite sport is dependent on the city in which people live?#### Statistical Analysis1. **Type of Test:** - Chi-Square Test of Independence2. **Hypotheses:** - **Null Hypothesis (H₀):** The favorite sport is independent of the city where people live. (There is no association between the city and the choice of favorite sport.) - **Alternate Hypothesis (H₁):** The favorite sport depends on the city where people live. (There is an association between the city and the choice of favorite sport.)3. **Test Statistic:** - Chi-Square (χ²) Statistic (To be calculated based on observed and expected frequencies)4. **P-value:** - P-value (To be determined from the chi-square distribution table based on the test statistic and degrees of freedom)5. **Decision:** - Compare the p-value with a significance level (commonly α = 0.05): - If p-value ≤ α, reject the null hypothesis. - If p-value > α, fail to reject the null hypothesis.6. **Conclusion:** - Based on the decision rule, interpret whether there is enough evidence to suggest that the favorite sport is dependent on the city.### Data VisualizationThe table provides categorical data about the number of individuals in three cities who chose a particular sport as their favorite. #### Sample Calculation (Example for Chi-Square Test)To calculate the chi-square statistic:1. Calculate the expected frequency for each cell in the table. This involves using the formula:\[ E_{ij} = \frac{(row_i \ total) \times (column

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Description: ### Analysis of Favorite Sports across Different Cities#### Research ScenarioA marketing executive is investigating if the favorite sport of individuals varies across three different cities. The data was collected and organized into the following ta

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4. A marketing executive asks people in three different cities to name their favorite sport. Here are the results, organized in a table: Football Baseball Soccer Basketball Other Santa Barbara 18 21 12 23 10 Oxnard 24 11 28 15 14 Los Angeles 22 25 15 34 11 Can she say that the favorite sport may depend where people live? Type of Test: Null Hypothesis: Alternate Hypothesis:

4. A marketing executive asks people in three different cities to name their favorite sport. Here are the results, organized in a table: Football Baseball Soccer Basketball Other Santa Barbara 18 21 12 23 10 Oxnard 24 11 28 15 14 Los Angeles 22 25 15 34 11 Can she say that the favorite sport may depend where people live? Type of Test: Null Hypothesis: Alternate Hypothesis:

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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