: A newspapers published an article about a study in which researchers subjected laboratory gloves to stress. Among 277 vinyl gloves, 56% leaked viruses. Among 277 latex gloves, 10% leaked viruses . Using the accompanying display of the technology results , and using a 0.10 significance level, test the claim that viyl gloves have a better virus leak than latex gloves. Let viyl gloves be population 1. A. What are the null and alternative hypotheses? B. Identify the test statistic C. Identify the p-value p- value =___ D.what is the conclusion for the test
: A newspapers published an article about a study in which researchers subjected laboratory gloves to stress. Among 277 vinyl gloves, 56% leaked viruses. Among 277 latex gloves, 10% leaked viruses . Using the accompanying display of the technology results , and using a 0.10 significance level, test the claim that viyl gloves have a better virus leak than latex gloves. Let viyl gloves be population 1. A. What are the null and alternative hypotheses? B. Identify the test statistic C. Identify the p-value p- value =___ D.what is the conclusion for the test
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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Q2: A newspapers published an article about a study in which researchers subjected laboratory gloves to stress. Among 277 vinyl gloves, 56% leaked viruses. Among 277 latex gloves, 10% leaked viruses . Using the accompanying display of the technology results , and using a 0.10 significance level, test the claim that viyl gloves have a better virus leak than latex gloves. Let viyl gloves be population 1.
A.
What are the null and alternative hypotheses?
B. Identify the test statistic
C. Identify the p-value
p- value =___
D.what is the conclusion for the test
![**Understanding Hypothesis Testing: Null and Alternative Hypotheses**
When conducting hypothesis testing in statistics, we often start by formulating two competing hypotheses: the null hypothesis (H₀) and the alternative hypothesis (H₁). These hypotheses express the different outcomes we can analyze.
Consider the following options to determine the correct set of null and alternative hypotheses for a given scenario.
---
**Question: What are the null and alternative hypotheses?**
**A.**
\[H₀: p₁ = p₂\]
\[H₁: p₁ ≠ p₂\]
**B.**
\[H₀: p₁ = p₂\]
\[H₁: p₁ < p₂\]
**C.**
\[H₀: p₁ ≠ p₂\]
\[H₁: p₁ = p₂\]
**D.**
\[H₀: p₁ > p₂\]
\[H₁: p₁ = p₂\]
**E.**
\[H₀: p₁ < p₂\]
\[H₁: p₁ = p₂\]
**F.**
\[H₀: p₁ = p₂\]
\[H₁: p₁ > p₂\]
---
### Explanation of Options:
1. **Option A:**
- **Null Hypothesis (H₀):** The population proportions are equal (\(p₁ = p₂\)).
- **Alternative Hypothesis (H₁):** The population proportions are not equal (\(p₁ ≠ p₂\)).
2. **Option B:**
- **Null Hypothesis (H₀):** The population proportions are equal (\(p₁ = p₂\)).
- **Alternative Hypothesis (H₁):** The first population proportion is less than the second population proportion (\(p₁ < p₂\)).
3. **Option C:**
- **Null Hypothesis (H₀):** The population proportions are not equal (\(p₁ ≠ p₂\)).
- **Alternative Hypothesis (H₁):** The population proportions are equal (\(p₁ = p₂\)).
4. **Option D:**
- **Null Hypothesis (H](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc18b90ea-cb53-41e6-9532-f9af83d8e951%2Fe75270c4-3423-4cee-974c-4ccb83d4152e%2F2ny3j3o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Hypothesis Testing: Null and Alternative Hypotheses**
When conducting hypothesis testing in statistics, we often start by formulating two competing hypotheses: the null hypothesis (H₀) and the alternative hypothesis (H₁). These hypotheses express the different outcomes we can analyze.
Consider the following options to determine the correct set of null and alternative hypotheses for a given scenario.
---
**Question: What are the null and alternative hypotheses?**
**A.**
\[H₀: p₁ = p₂\]
\[H₁: p₁ ≠ p₂\]
**B.**
\[H₀: p₁ = p₂\]
\[H₁: p₁ < p₂\]
**C.**
\[H₀: p₁ ≠ p₂\]
\[H₁: p₁ = p₂\]
**D.**
\[H₀: p₁ > p₂\]
\[H₁: p₁ = p₂\]
**E.**
\[H₀: p₁ < p₂\]
\[H₁: p₁ = p₂\]
**F.**
\[H₀: p₁ = p₂\]
\[H₁: p₁ > p₂\]
---
### Explanation of Options:
1. **Option A:**
- **Null Hypothesis (H₀):** The population proportions are equal (\(p₁ = p₂\)).
- **Alternative Hypothesis (H₁):** The population proportions are not equal (\(p₁ ≠ p₂\)).
2. **Option B:**
- **Null Hypothesis (H₀):** The population proportions are equal (\(p₁ = p₂\)).
- **Alternative Hypothesis (H₁):** The first population proportion is less than the second population proportion (\(p₁ < p₂\)).
3. **Option C:**
- **Null Hypothesis (H₀):** The population proportions are not equal (\(p₁ ≠ p₂\)).
- **Alternative Hypothesis (H₁):** The population proportions are equal (\(p₁ = p₂\)).
4. **Option D:**
- **Null Hypothesis (H
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