Math Problem Statement
Solution
To find the correct test statistic, you need to use the formula for the z-test for a proportion:
Where:
- sample proportion =
- population proportion = 0.37
- sample size = 797
Plug these values into the formula:
Calculate the standard error:
Calculate the z-score:
So the correct test statistic, rounded to two decimals, is approximately .
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Proportions
Standard Normal Distribution
Formulas
z = (p̂ - p₀) / √(p₀(1-p₀)/n)
Theorems
Central Limit Theorem
Suitable Grade Level
College/Undergraduate Statistics
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