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chi-square test statistic by hand

chi-square test statistic by hand

MATLAB: An Introduction with Applications
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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The 2x5 table below shows the results of a random sample of 2200 adults classified by 2 variables: gender and preferred way to eat ice cream.

At the 5% significance level, test the claim that the two variables are independent. 

Your solution must include the claim, the null and alternate hypothesis, your test statistic, the degrees of freedom, the p-value, your decision, and the interpretation of your decision as it relates to the claim.  Calculate the chi-square test statistic by hand and show all work

### Travel Concerns by Travel Purpose This table provides insights into the travel concerns of individuals based on the purpose of their travel, categorized under business and leisure. #### Table: Travel Concerns | Travel Purpose | Hotel Room | Leg Room on Plane | Rental Car Size | Other | |----------------|------------|-------------------|-----------------|-------| | Business | 36 | 108 | 14 | 22 | | Leisure | 38 | 54 | 14 | 14 | **Description:** - **Travel Purpose:** This column indicates the primary reason for traveling; either for business or leisure activities. - **Hotel Room:** This column shows the number of individuals concerned about the quality or size of their hotel room. Business travelers have a count of 36, while leisure travelers have a slightly higher count of 38. - **Leg Room on Plane:** This column is critical to highlight travelers' concern about comfort during flights. Business travelers, with a count of 108, exhibit a significantly higher concern for legroom compared to leisure travelers, who are at 54. - **Rental Car Size:** Interestingly, both business and leisure travelers show equal concern for the size of rental cars, each having a count of 14. - **Other:** This column encompasses other miscellaneous travel concerns not specified in the previous columns. Business travelers again show higher concern, with a count of 22 compared to leisure travelers who have a count of 14. The data implies that while there are some differences in concerns between business and leisure travelers, comfort during flights (legroom) is a significant concern for business travelers, likely due to frequent or longer flights. In contrast, leisure travelers show a more moderate level of concerns across different categories.
Transcribed Image Text:### Travel Concerns by Travel Purpose This table provides insights into the travel concerns of individuals based on the purpose of their travel, categorized under business and leisure. #### Table: Travel Concerns | Travel Purpose | Hotel Room | Leg Room on Plane | Rental Car Size | Other | |----------------|------------|-------------------|-----------------|-------| | Business | 36 | 108 | 14 | 22 | | Leisure | 38 | 54 | 14 | 14 | **Description:** - **Travel Purpose:** This column indicates the primary reason for traveling; either for business or leisure activities. - **Hotel Room:** This column shows the number of individuals concerned about the quality or size of their hotel room. Business travelers have a count of 36, while leisure travelers have a slightly higher count of 38. - **Leg Room on Plane:** This column is critical to highlight travelers' concern about comfort during flights. Business travelers, with a count of 108, exhibit a significantly higher concern for legroom compared to leisure travelers, who are at 54. - **Rental Car Size:** Interestingly, both business and leisure travelers show equal concern for the size of rental cars, each having a count of 14. - **Other:** This column encompasses other miscellaneous travel concerns not specified in the previous columns. Business travelers again show higher concern, with a count of 22 compared to leisure travelers who have a count of 14. The data implies that while there are some differences in concerns between business and leisure travelers, comfort during flights (legroom) is a significant concern for business travelers, likely due to frequent or longer flights. In contrast, leisure travelers show a more moderate level of concerns across different categories.
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