### Analysis of Star Trek Uniform Colors and Crew-Member FatalitiesThe color of the Star Trek uniform represents each crew-member's work area. In the original Star Trek series, blue shirts are worn by medical and science staff, gold shirts are worn by the command division, and the red shirts were worn by engineering, security, and communications division. We will statistically assess whether there is a connection between uniform color and the fatality rate. The table below shows a sample of how many crew-members in each area have died onscreen and their shirt color. Use α = 0.05 to test if a crew-member's fatality onscreen is dependent on their uniform color.| Shirt Color | Alive | Dead | Total ||-------------|-------|------|-------|| Blue | 39 | 8 | 47 || Gold | 21 | 9 | 30 || Red | 28 | 27 | 55 || **Total** | **88**| **44**| **132**|### Key Insights:1. **Blue Shirts**: - Alive: 39 - Dead: 8 - Total: 47 2. **Gold Shirts**: - Alive: 21 - Dead: 9 - Total: 30 3. **Red Shirts**: - Alive: 28 - Dead: 27 - Total: 554. **Overall**: - Alive: 88 - Dead: 44 - Total: 132 ### Statistical Analysis:To determine if a crew-member's fatality onscreen is dependent on their uniform color, we need to conduct a chi-square test of independence with a significance level of α = 0.05. This test will help ascertain whether there is a significant relationship between the variables (uniform color and fatality rate).The data suggests that the red shirts have a noticeably higher fatality rate compared to blue and gold shirts. However, a formal statistical analysis is essential to confirm if this observed difference is statistically significant. ---### Chi-Square Test for Independence#### Contingency Table| | Alive | Dead ||---------|-------|------|| Blue | | || Gold | | || Red | | |#### Instructions1. **Compute the Value of the Test Statistic:** - Calculate the chi-square (χ²) value to 4 decimal places. \[ \chi² = \_\_\_\_ \]2. **Compute the p-value:** - Determine the p-value corresponding to the computed chi-square value. Round your answer to 4 decimal places. \[ p\text{-value} = \_\_\_\_ \]---

Alive Dead TotalBlue39847Gold21930Red282755Total 8844132We have to test hypothesis for the claim…

Answered: The color of the Star Trek uniform…

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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