The p-value is greater than or less than, the significance level, so fail to reject or reject the null hypothesis. There is sufficient or insufficient evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves. A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 269 vinyl gloves, 64% leaked viruses. Among 269 latex gloves, 9% leaked viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.### Hypothesis Testing Steps:#### What are the null and alternative hypotheses?- **Option A:** \( H_0: p_1 > p_2 \) \( H_1: p_1 = p_2 \)- **Option B:** \( H_0: p_1 < p_2 \) \( H_1: p_1 = p_2 \)- **Option C:** \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \)- **Option D:** \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \)- **Option E:** \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \)- **Option F:** \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \)#### Identify the test statistic.\[ \text{Box to enter value (Round to two decimal places as needed.)} \]#### Identify the P-value.\[ \text{Box to enter value (Round to three decimal places as needed.)} \]#### Conclusion for the test:**The P-value is** [Select an option] **the significance level \(\alpha\), so** [Select an option] **the null hypothesis. There is** [Select an option] **evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.**This exercise involves selecting the correct hypothesis and calculating the test statistic and P-value to determine the validity of the claim about vinyl and latex gloves. **Technology Results**- **Pooled Proportion:** 0.36- **Test Statistic, z:** 13.3633- **Critical z:** 1.6449- **P-value:** 0.0000**90% Confidence Interval:**0.4981771 < p₁ - p₂ < 0.6096296**Interface Options:**- Print- Done**Description:**This output provides statistical results from a hypothesis test. The pooled proportion is 0.36, indicating the combined proportion for groups under testing. The test statistic value (z = 13.3633) and a critical z-value of 1.6449 imply a strong deviation from the null hypothesis. A p-value of 0.0000 suggests highly significant results, leading to rejection of the null hypothesis. The 90% confidence interval (0.4981771 to 0.6096296) further quantifies the difference between two group proportions (p₁ and p₂).

there are values of sample proportions and sample sizes For both samples given in question.\ we…

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 269 vinyl gloves, 64% leaked viruses. Among 269 latex gloves, 9% leaked viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. i Click the icon to view the technology results. What are the null and alternative hypotheses? OA. Ho: P₁ P2 H₁: P₁ = P2 OB. Ho: P₁ P2 H₁: P₁ P₂ OF H OC. Ho: P₁ = P₂ H₁: P₁>P2 Hin

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 269 vinyl gloves, 64% leaked viruses. Among 269 latex gloves, 9% leaked viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. i Click the icon to view the technology results. What are the null and alternative hypotheses? OA. Ho: P₁ P2 H₁: P₁ = P2 OB. Ho: P₁ P2 H₁: P₁ P₂ OF H OC. Ho: P₁ = P₂ H₁: P₁>P2 Hin

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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