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
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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 [__________].
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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