The image displays a statistical test scenario related to an article about a research study on laboratory gloves subjected to stress. The study compares the leakage rates of vinyl and latex gloves when exposed to viruses.**Scenario Overview:**- Among 235 vinyl gloves tested, 56% leaked viruses.- Among 235 latex gloves tested, 15% leaked viruses.The goal is to test the claim that vinyl gloves have a greater virus leak rate than latex gloves using a 0.01 significance level.**Question:**What are the null and alternative hypotheses?**Options:**- A: - Null hypothesis (H₀): p₁ < p₂ - Alternative hypothesis (H₁): p₁ > p₂- B: - Null hypothesis (H₀): p₁ = p₂ - Alternative hypothesis (H₁): p₁ ≠ p₂- C: - Null hypothesis (H₀): p₁ = p₂ - Alternative hypothesis (H₁): p₁ > p₂- D: - Null hypothesis (H₀): p₁ = p₂ - Alternative hypothesis (H₁): p₁ < p₂- E: - Null hypothesis (H₀): p₁ > p₂ - Alternative hypothesis (H₁): p₁ < p₂- F: - Null hypothesis (H₀): p₁ > p₂ - Alternative hypothesis (H₁): p₁ ≠ p₂**Tasks:**1. Identify the correct test statistic (with instructions to round to two decimal places as needed).2. Identify the P-value (with similar rounding instructions).This problem focuses on choosing the correct hypothesis test to statistically evaluate the difference in leak rates between two types of gloves. ### Study Analysis of Vinyl and Latex Gloves for Virus LeakageA newspaper published an article about a study in which researchers subjected laboratory gloves to stress to determine if they leak viruses. The study involved two types of gloves:- **Vinyl Gloves:** Out of 235 gloves tested, 56% leaked viruses.- **Latex Gloves:** Out of 235 gloves tested, 15% leaked viruses.Using this data and a significance level of 0.01, the goal is to test the claim that vinyl gloves have a greater virus leak rate than latex gloves.#### Hypotheses- **Null Hypothesis (H₀):** \( p_1 = p_2 \) (The proportion of leaks is the same for both types of gloves)- **Alternative Hypothesis (H₁):** \( p_1 > p_2 \) (Vinyl gloves have a greater leak rate than latex gloves)#### Test Statistic- The task is to compute and identify the test statistic, which will determine whether the null hypothesis can be rejected.\[ \text{Round to two decimal places as needed.} \]#### P-value- Compute and identify the P-value to help decide on the rejection of the null hypothesis.\[ \text{Round to three decimal places as needed.} \]#### Conclusion- Based on the P-value and the significance level of 0.01, decide whether there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. Determine if there is strong evidence to support the claim that vinyl gloves have a higher leak rate compared to latex gloves.#### Instructions- Select the test statistic and P-value corresponding to the test findings.- Decide the conclusion according to the given significance level and hypothesis test results.[Button: **Next**]

Given: n1 = 235 p1 = 0.56 n2 = 235 p2 = 0.15 α = 0.01 Formula Used: Test-statistic Z =…

Answered: A newspaper published an article about…

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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