The image presents a statistical analysis scenario for a major hotel chain, where the goal is to ensure that the proportion of nonconforming rooms is less than 2%. The user is required to conduct a one-sample hypothesis test for a proportion, using a significance level of 0.05.**Step-by-Step Instructions:**1. **State the Hypotheses:** - **Null Hypothesis (H₀):** The proportion of nonconforming rooms is equal to or greater than 2% (p ≥ 0.02). - **Alternative Hypothesis (H₁):** The proportion of nonconforming rooms is less than 2% (p < 0.02).2. **Data Analysis:** - Inspect the room data from 25 samples, each comprising 100 room inspections. The dataset includes the number of nonconforming rooms and the fraction of nonconforming rooms for each sample.3. **Room Inspection Data:** - Samples 1 to 25 have their rooms inspected, and nonconforming results recorded as follows: - For instance, Sample 1 shows 100 rooms inspected, with 3 nonconforming rooms (a fraction of 0.03). - Sample 8 shows 100 rooms inspected, with 7 nonconforming rooms (a fraction of 0.07). - Several samples, like Sample 3 and Sample 24, show no nonconforming rooms (a fraction of 0.00).4. **Perform Calculations:** - Compute the test statistic based on the data provided. - Round the answer to two decimal places.5. **Determine the p-value:** - Find and round the p-value to three decimal places to assess the evidence against the null hypothesis.6. **Draw a Conclusion:** - Compare the p-value with the chosen significance level (α = 0.05). - Decide whether to reject or fail to reject the null hypothesis. - State if there is sufficient evidence to conclude that the proportion of nonconforming rooms is less than 2%.This analysis is essential for ensuring quality control within the hotel chain and maintaining acceptable standards of service.

Answered: Image /qna-images/answer/c5e428e6-e2b4-4ffa-9fa5-d25a8f35b473.jpg

Answered: The accompanying table provides the…

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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