The table provides data on the age distribution of customers at three fast-food chains: Burger King, McDonald's, and Wendy's. The data is categorized by age groups: 18-34, 35-49, 50-64, and 65+.**Table Data:**- **Burger King:** - Age 18-34: 127 - Age 35-49: 119 - Age 50-64: 63 - Age 65+: 163- **McDonald's:** - Age 18-34: 75 - Age 35-49: 142 - Age 50-64: 82 - Age 65+: 129- **Wendy's:** - Age 18-34: 124 - Age 35-49: 156 - Age 50-64: 75 - Age 65+: 132**Analysis:**- Burger King has the highest number of customers in the 65+ age category.- McDonald's has a strong customer base in the 35-49 age group.- Wendy's is most popular among the 35-49 age group, with the highest value in this category. The data may reflect trends in dining preferences among different age groups for each restaurant chain. **Testing for Independence**The contingency table shows the results of a random sample of adults with respect to their ages and favorite fast food restaurant. At the significance level, α = 0.01, test the claim that at least two of the variables are dependent.Use the Independence #1 calculator to test the hypothesis. Fill in the contingency table for row and columns based on the results. Also fill in the space for the level of significance α.- \( H_0 \): The variables are independent- \( H_a \): At least two of the variables are dependent (claim)a.) Find the degrees of freedom, the critical value and identify the rejection region.b.) Find the chi-square test statistic.c.) Is the test statistic in the rejection region? How do you know?d.) Do we reject or fail to reject the null hypothesis?e.) Is there enough evidence to support the claim that at least two of the variables are dependent? Give a full conclusion statement including the level of significance.

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Answered: The contingency table shows the results…

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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