Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin? Correctly identify the null and alternative hypotheses:
Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin? Correctly identify the null and alternative hypotheses:
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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Transcribed Image Text:Below are four pairs of hypotheses typically used in statistical hypothesis testing.
1. **Pair 1:**
- Null Hypothesis (\(H_0\)): \(p = 0.30\)
- Alternative Hypothesis (\(H_A\)): \(p > 0.30\)
2. **Pair 2:**
- Null Hypothesis (\(H_0\)): \(p = 0.23\)
- Alternative Hypothesis (\(H_A\)): \(p > 0.23\)
3. **Pair 3:**
- Null Hypothesis (\(H_0\)): \(\mu = 0.23\)
- Alternative Hypothesis (\(H_A\)): \(\mu < 0.30\)
4. **Pair 4:**
- Null Hypothesis (\(H_0\)): \(p = 0.30\)
- Alternative Hypothesis (\(H_A\)): \(p \neq 0.30\)
Each hypothesis pair consists of a null hypothesis (\(H_0\)) representing a default or initial claim to be tested, and an alternative hypothesis (\(H_A\)) indicating what we are trying to prove or what we suspect might be true.

Transcribed Image Text:Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin? Correctly identify the null and alternative hypotheses:
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