If your null and alternative hypothesis are: Ho:p = 0.16 H:p < 0.16 %3D Then the test is: right tailed two tailed left tailed
If your null and alternative hypothesis are: Ho:p = 0.16 H:p < 0.16 %3D Then the test is: right tailed two tailed left tailed
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Hypothesis Testing: Determining the Type of Test**
When evaluating hypotheses, it's vital to identify the nature of the test based on the null and alternative hypotheses. In this scenario, your hypotheses are:
- Null Hypothesis (\(H_0\)): \(p = 0.16\)
- Alternative Hypothesis (\(H_1\)): \(p < 0.16\)
Based on these hypotheses, determine the type of test to conduct:
- [ ] Right-tailed
- [ ] Two-tailed
- [ ] Left-tailed
**Explanation:**
Since the alternative hypothesis (\(H_1\)) is suggesting that the parameter \(p\) is less than 0.16, this scenario requires a **left-tailed test**. In hypothesis testing, a left-tailed test is used to assess whether a sample mean is significantly less than hypothesized population mean.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64a644ea-8709-4726-8021-bb861b46b549%2F52d259dd-3b01-4a87-893b-286765af6e8e%2Ffpplny_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing: Determining the Type of Test**
When evaluating hypotheses, it's vital to identify the nature of the test based on the null and alternative hypotheses. In this scenario, your hypotheses are:
- Null Hypothesis (\(H_0\)): \(p = 0.16\)
- Alternative Hypothesis (\(H_1\)): \(p < 0.16\)
Based on these hypotheses, determine the type of test to conduct:
- [ ] Right-tailed
- [ ] Two-tailed
- [ ] Left-tailed
**Explanation:**
Since the alternative hypothesis (\(H_1\)) is suggesting that the parameter \(p\) is less than 0.16, this scenario requires a **left-tailed test**. In hypothesis testing, a left-tailed test is used to assess whether a sample mean is significantly less than hypothesized population mean.
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