The 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 αα = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color. Alive Dead Total Blue 421153 Gold 19625 Red 292554 Total 9042132Choose the correct null and alternative hypotheses.H0:H0: There is an association between Star Trek fatalities and uniform color.HaHa There is no association between Star Trek fatalities and uniform color.H0:H0: There is no association between Star Trek fatalities and uniform color.HaHa There is an association between Star Trek fatalities and uniform color.Compute the test statistic.Complete the following table of expected counts. (Round your answers to 4 decimal places). Alive Dead Blue Gold Red Compute the value of the test statistic. (Round your answer to 4 decimal places.)χ2=χ2=Compute the p-value. (Round your answer to 4 decimal places.)pp-value = Interpret the results of the significance test.The p-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant.The p-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant.

Name: The color of the Star Trek uniform represents each crew-member's work
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: The 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

Answered: Choose the correct null and alternative…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

The 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 αα = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color.

	Alive	Dead	Total
Blue	42	11	53
Gold	19	6	25
Red	29	25	54
Total	90	42	132

Choose the correct null and alternative hypotheses.
- H0:H0: There is an association between Star Trek fatalities and uniform color.
  HaHa There is no association between Star Trek fatalities and uniform color.
- H0:H0: There is no association between Star Trek fatalities and uniform color.
  HaHa There is an association between Star Trek fatalities and uniform color.
Compute the test statistic.

Complete the following table of expected counts. (Round your answers to 4 decimal places).

Alive Dead

Blue

Gold

Red

Compute the value of the test statistic. (Round your answer to 4 decimal places.)

χ2=χ2=
Compute the p-value. (Round your answer to 4 decimal places.)

pp-value =
Interpret the results of the significance test.
- The p-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant.
- The p-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Data Collection, Sampling Methods, and Bias$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.