The CEO of a large electric utility claims that at least 80 percent of his one million customers are very satisfied with the service they receive. A local newspaper surveyed 300 customers randomly. 73 percent said they were very satisfied. The test statistic is (Round answer to two decimal places. Do not write 0.12
The CEO of a large electric utility claims that at least 80 percent of his one million customers are very satisfied with the service they receive. A local newspaper surveyed 300 customers randomly. 73 percent said they were very satisfied. The test statistic is (Round answer to two decimal places. Do not write 0.12
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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![### Customer Satisfaction Survey Analysis
The CEO of a large electric utility claims that at least 80 percent of his one million customers are very satisfied with the service they receive. A local newspaper surveyed 300 customers randomly. Seventy-three percent of them said they were very satisfied.
#### Problem Statement:
We need to determine the test statistic to verify the CEO's claim based on the survey conducted by the local newspaper.
#### Key Information:
- Claimed satisfaction rate by the CEO: 80% (or 0.80)
- Sample size from the survey: 300 customers
- Satisfaction rate from the survey: 73% (or 0.73)
#### Calculation:
- Use the formula for the test statistic in a proportion test:
\[
z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1 - p_0)}{n}}}
\]
where:
- \(\hat{p}\) = sample proportion (0.73)
- \(p_0\) = claimed proportion (0.80)
- \(n\) = sample size (300)
#### Instructions:
Calculate the test statistic and round the answer to two decimal places. Ensure to write the answer in the appropriate format (e.g., 0.12 instead of .12).
#### Input Box:
The test statistic is [__________].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa14048f2-5cba-4f26-8479-4bf217c3ed07%2Fdbfd2534-e6d7-4602-a0cd-74750cdf269f%2F1jkziyp_processed.png&w=3840&q=75)
Transcribed Image Text:### Customer Satisfaction Survey Analysis
The CEO of a large electric utility claims that at least 80 percent of his one million customers are very satisfied with the service they receive. A local newspaper surveyed 300 customers randomly. Seventy-three percent of them said they were very satisfied.
#### Problem Statement:
We need to determine the test statistic to verify the CEO's claim based on the survey conducted by the local newspaper.
#### Key Information:
- Claimed satisfaction rate by the CEO: 80% (or 0.80)
- Sample size from the survey: 300 customers
- Satisfaction rate from the survey: 73% (or 0.73)
#### Calculation:
- Use the formula for the test statistic in a proportion test:
\[
z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1 - p_0)}{n}}}
\]
where:
- \(\hat{p}\) = sample proportion (0.73)
- \(p_0\) = claimed proportion (0.80)
- \(n\) = sample size (300)
#### Instructions:
Calculate the test statistic and round the answer to two decimal places. Ensure to write the answer in the appropriate format (e.g., 0.12 instead of .12).
#### Input Box:
The test statistic is [__________].
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