A marketing consultant for a travel agent wants to determine if certain travel concerns are related to travel purpose. The contingency table below shows the results from a random sample of 300 travelers classified by their primary travel concern and their travel purpose.Do the variables appears to be dependent or independent? Test the claim and use a 5% significance level.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 Purpose of TravelThis table provides a breakdown of various travel concerns categorized by the purpose of travel, which includes Business and Leisure. The travel concerns listed are Hotel Room, Leg Room on Plane, Rental Car Size, and Other.#### Travel Concerns| Travel Purpose | Hotel Room | Leg Room on Plane | Rental Car Size | Other ||----------------|------------|-------------------|-----------------|-------|| Business | 36 | 108 | 14 | 22 || Leisure | 38 | 54 | 14 | 14 |#### Detailed Breakdown1. **Hotel Room:** - Business travelers have 36 concerns regarding hotel rooms. - Leisure travelers have a slightly higher number of concerns, with 38.2. **Leg Room on Plane:** - Business travelers have a significant concern about leg room on planes with a count of 108. - Leisure travelers have fewer concerns in this category, with a count of 54.3. **Rental Car Size:** - Both Business and Leisure travelers share the same level of concern regarding the size of rental cars, each with a count of 14.4. **Other:** - Business travelers have 22 concerns listed under "Other." - Leisure travelers have fewer concerns in this category, with a count of 14.This data helps in understanding the differing priorities and concerns of business versus leisure travelers, which can be crucial for companies in the travel and hospitality industries when tailoring their services.

With the assumptions of the variables being independent, the H0 is set up for the Chi-square test.…

Answered: A marketing consultant for a travel…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A marketing consultant for a travel agent wants to determine if certain travel concerns are related to travel purpose. The contingency table below shows the results from a random sample of 300 travelers classified by their primary travel concern and their travel purpose.

Do the variables appears to be dependent or independent? Test the claim and use a 5% significance level.

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 Purpose of Travel

This table provides a breakdown of various travel concerns categorized by the purpose of travel, which includes Business and Leisure. The travel concerns listed are Hotel Room, Leg Room on Plane, Rental Car Size, and Other.

#### Travel Concerns

| Travel Purpose | Hotel Room | Leg Room on Plane | Rental Car Size | Other |
|----------------|------------|-------------------|-----------------|-------|
| Business | 36 | 108 | 14 | 22 |
| Leisure | 38 | 54 | 14 | 14 |

#### Detailed Breakdown

1. **Hotel Room:**
- Business travelers have 36 concerns regarding hotel rooms.
- Leisure travelers have a slightly higher number of concerns, with 38.

2. **Leg Room on Plane:**
- Business travelers have a significant concern about leg room on planes with a count of 108.
- Leisure travelers have fewer concerns in this category, with a count of 54.

3. **Rental Car Size:**
- Both Business and Leisure travelers share the same level of concern regarding the size of rental cars, each with a count of 14.

4. **Other:**
- Business travelers have 22 concerns listed under "Other."
- Leisure travelers have fewer concerns in this category, with a count of 14.

This data helps in understanding the differing priorities and concerns of business versus leisure travelers, which can be crucial for companies in the travel and hospitality industries when tailoring their services.

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