Math Problem Statement
A software company is interested in improving customer satisfaction rate from the currently claimed. The company sponsored a survey of customers and found that customers were satisfied.What is the test statistic ?Round to two decimal places.
Solution
To determine the test statistic, we need to use the formula for a hypothesis test for a population proportion:
Where:
- is the sample proportion.
- is the claimed proportion (the population proportion under the null hypothesis).
- is the number of customers surveyed.
Steps:
-
Identify Variables:
- The number of satisfied customers ().
- The number of customers surveyed ().
- The claimed proportion ().
-
Compute Sample Proportion ():
-
Compute Standard Error:
-
Calculate Test Statistic ():
Please provide the specific values for the number of surveyed customers, satisfied customers, and the claimed satisfaction proportion, and I will calculate the test statistic for you.
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Population Proportions
Z-Tests
Formulas
z = (\hat{p} - p_0) / \sqrt{(p_0(1 - p_0)) / n}
\hat{p} = x / n
SE = \sqrt{(p_0(1 - p_0)) / n}
Theorems
Z-Test for Proportions
Suitable Grade Level
Grades 11-12, College Level
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