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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Exercise 12.03 Algo (Goodness of Fit Test)**

**Question 1 of 12**

**Problem Statement:**
During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as follows:
- ABC: 30%
- CBS: 26%
- NBC: 23%
- Independents: 21%

A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data:
- ABC: 91 homes
- CBS: 69 homes
- NBC: 86 homes
- Independents: 54 homes

Test with α = 0.05 to determine whether the viewing audience proportions changed.

**Instructions:**
Find the test statistic and p-value. (Round your test statistic to two decimal places. Use Table 3 of [Appendix B](#))

**Solution:**

**Test statistic =** 6.40 ❌

**p-value is** between 0.05 and 0.10 ✔️

**Conclusion:**
There is **no significant** ✔️ change in the viewing audience proportions.

**Feedback:**
- Partially Correct

---------------------------

**Icon Key:**
- The red 'X' indicates an incorrect answer.
- The green check mark (✔️) indicates correct answers.

**Note:**
When evaluating the problem, ensure your calculations for the test statistic are accurate and refer to the appropriate statistical tables for the correct p-value range. The conclusion is based on the comparison between the p-value and the significance level, α = 0.05.
Transcribed Image Text:**Exercise 12.03 Algo (Goodness of Fit Test)** **Question 1 of 12** **Problem Statement:** During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as follows: - ABC: 30% - CBS: 26% - NBC: 23% - Independents: 21% A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: - ABC: 91 homes - CBS: 69 homes - NBC: 86 homes - Independents: 54 homes Test with α = 0.05 to determine whether the viewing audience proportions changed. **Instructions:** Find the test statistic and p-value. (Round your test statistic to two decimal places. Use Table 3 of [Appendix B](#)) **Solution:** **Test statistic =** 6.40 ❌ **p-value is** between 0.05 and 0.10 ✔️ **Conclusion:** There is **no significant** ✔️ change in the viewing audience proportions. **Feedback:** - Partially Correct --------------------------- **Icon Key:** - The red 'X' indicates an incorrect answer. - The green check mark (✔️) indicates correct answers. **Note:** When evaluating the problem, ensure your calculations for the test statistic are accurate and refer to the appropriate statistical tables for the correct p-value range. The conclusion is based on the comparison between the p-value and the significance level, α = 0.05.
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