A home improvement company is interested in improving customer satisfaction rate from the 79% currently claimed. The company sponsored a survey of 222 customers and found that 185 customers were satisfied. What is the test statistic z? Ex: 2.22 What is the p-value? Ex: 0.123 Does sufficient evidence exist that the customer satisfaction rate is different than the claim by the company at a significance level of a = 0.05?|Select v

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**Scenario: Evaluating Customer Satisfaction in a Home Improvement Company**

A home improvement company aims to verify its customer satisfaction, which it claims to be at 79%. The company conducted a survey involving 222 customers, out of which 185 reported satisfaction.

**Key Questions:**

1. **Test Statistic Calculation**:
   - What is the test statistic \( z \)? (Example input format: 2.22)

2. **p-value Assessment**:
   - What is the \( p \)-value? (Example input format: 0.123)

3. **Statistical Significance Evaluation**:
   - Is there sufficient evidence to conclude that the customer satisfaction rate is different from the company's claim at a significance level of \( \alpha = 0.05 \)? (Selection options are provided)

To answer these questions, you would perform a hypothesis test for a proportion to compare the claimed satisfaction rate against the survey results. This involves calculating the test statistic \( z \), determining the corresponding \( p \)-value, and comparing it with the significance level to decide if the observed difference is statistically significant.
Transcribed Image Text:**Scenario: Evaluating Customer Satisfaction in a Home Improvement Company** A home improvement company aims to verify its customer satisfaction, which it claims to be at 79%. The company conducted a survey involving 222 customers, out of which 185 reported satisfaction. **Key Questions:** 1. **Test Statistic Calculation**: - What is the test statistic \( z \)? (Example input format: 2.22) 2. **p-value Assessment**: - What is the \( p \)-value? (Example input format: 0.123) 3. **Statistical Significance Evaluation**: - Is there sufficient evidence to conclude that the customer satisfaction rate is different from the company's claim at a significance level of \( \alpha = 0.05 \)? (Selection options are provided) To answer these questions, you would perform a hypothesis test for a proportion to compare the claimed satisfaction rate against the survey results. This involves calculating the test statistic \( z \), determining the corresponding \( p \)-value, and comparing it with the significance level to decide if the observed difference is statistically significant.
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