Transcription of the image:---**Use a 0.05 level of significance to test for independence of the quality of management and the reputation of the company.****(a) State the null and alternative hypotheses.**- $ H_0 $: Quality of management is independent of the reputation of the company.- $ H_1 $: Quality of management is not independent of the reputation of the company.**(b) Find the value of the test statistic (Round your answer to three decimal places)**- [Text Box for Entry]**Find the p-value (Round your answer to four decimal places)**- [Text Box for Entry]**State your conclusion.**- O Do not reject $ H_0 $; we conclude that the rating for the quality of management is independent of the rating for the reputation of the company.- O Reject $ H_0 $; we conclude that the rating for the quality of management is not independent of the rating for the reputation of the company.**Graph/Diagram Description:**A table is displayed, labeled "Quality of Management" as the column headers and "Reputation of Company" as the row headers. The table contains numerical data categorized as follows:| | Reputation of Company | | | ||---------------------------|-------------|--------|--------|--------|| Quality of Management | Excellent | Good | Fair || Excellent | | 35 | 40 | 25 || Good | | 35 | 30 | 35 || Fair | | 10 | 15 | 12 |You may need to use the appropriate technology to answer this question. The Wall Street Journal conducted a study in 2009 where it rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair basis.The sample of 200 respondents below applies to this study.**(c) For companies that do not have an excellent reputation, find the following. (Round your answers to three decimal places.)**- The largest cell must correspond to the management quality.- For companies with a fair reputation, the largest column probability corresponds to the quality of management.[Drop-down Menus for Selection]---This

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Description: Transcription of the image:---**Use a 0.05 level of significance to test for independence of the quality of management and the reputation of the company.****(a) State the null and alternative hypotheses.**- $ H_0 $: Quality of management is indepe

Answered: Excellent Good Fair 0.05 level of…

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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**Use a 0.05 level of significance to test for independence of the quality of management and the reputation of the company.**

**(a) State the null and alternative hypotheses.**

- $ H_0 $: Quality of management is independent of the reputation of the company.
- $ H_1 $: Quality of management is not independent of the reputation of the company.

**(b) Find the value of the test statistic (Round your answer to three decimal places)**

- [Text Box for Entry]

**Find the p-value (Round your answer to four decimal places)**

- [Text Box for Entry]

**State your conclusion.**

- O Do not reject $ H_0 $; we conclude that the rating for the quality of management is independent of the rating for the reputation of the company.
- O Reject $ H_0 $; we conclude that the rating for the quality of management is not independent of the rating for the reputation of the company.

**Graph/Diagram Description:**

A table is displayed, labeled "Quality of Management" as the column headers and "Reputation of Company" as the row headers. The table contains numerical data categorized as follows:

| | Reputation of Company | | | |
|---------------------------|-------------|--------|--------|--------|
| Quality of Management | Excellent | Good | Fair |
| Excellent | | 35 | 40 | 25 |
| Good | | 35 | 30 | 35 |
| Fair | | 10 | 15 | 12 |

You may need to use the appropriate technology to answer this question. The Wall Street Journal conducted a study in 2009 where it rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair basis.

The sample of 200 respondents below applies to this study.

**(c) For companies that do not have an excellent reputation, find the following. (Round your answers to three decimal places.)**

- The largest cell must correspond to the management quality.
- For companies with a fair reputation, the largest column probability corresponds to the quality of management.

[Drop-down Menus for Selection]

---

This

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The data for 200 respondents is given in the below table

	The reputation of the Company
Quality of management	Excellent	Good	Fair
Excellent	40	25	8
Good	35	35	10
Fair	25	10	12

It is required to test the independence of the quality of management and the reputation of the company.

Step 2

We will use the chi-squared test for independence to test the independence of the quality of management and the reputation of the company.

The null and alternative hypothesis is

H0: Quality of management is independent of the reputation of the company.

H1: Quality of management is not independent of the reputation of the company.

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