Math Problem Statement
Solution
This is a hypothesis testing question where you need to classify the type of test based on the alternate hypothesis ().
Explanation:
-
Null Hypothesis ():
This states that the population mean is 25. -
Alternate Hypothesis ():
This states that the population mean is less than 25.
Since the alternate hypothesis uses a "less than" symbol (), this indicates a left-tailed test.
Answer:
The alternate hypothesis is left-tailed.
Would you like further details or have questions about hypothesis testing?
Related Questions:
- What does a right-tailed hypothesis test look like?
- How do you conduct a hypothesis test for this problem?
- What are the implications of selecting a left-tailed test?
- How does the significance level () affect hypothesis tests?
- What are the differences between one-tailed and two-tailed tests?
Tip:
In hypothesis testing, always match the inequality sign in to determine if the test is left-tailed, right-tailed, or two-tailed.
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Statistical Inference
Formulas
Concept of left-tailed, right-tailed, and two-tailed tests
Theorems
Null and Alternate Hypothesis Definition
Suitable Grade Level
College or Advanced High School
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