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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 a = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color. Blue Gold Red Total Alive 39 18 32 89 Dead 9 7 24 40 a. Choose the correct null and alternative hypotheses. O Ho: There is an association between Star Trek fatalities and uniform color. Ha There is no association between Star Trek fatalities and uniform color. Blue O Ho: There is no association between Star Trek fatalities and uniform color. Ha There is an association between Star Trek fatalities and uniform color. Gold Total 48 25 b. Complete the following table of expected counts under the assumption that the null hypothesis is true. (Round your answers to 1 decimal place). Dead Red 56 129 Alive c. Use appropriate technology to compute the value of the test statistic (rounded to 2 decimal places) and the P-value (rounded to 3 decimal places). x² = P-value = d. Interpret the results of the significance test. O The P-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant. O The P-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant.

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 a = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color. Blue Gold Red Total Alive 39 18 32 89 Dead 9 7 24 40 a. Choose the correct null and alternative hypotheses. O Ho: There is an association between Star Trek fatalities and uniform color. Ha There is no association between Star Trek fatalities and uniform color. Blue O Ho: There is no association between Star Trek fatalities and uniform color. Ha There is an association between Star Trek fatalities and uniform color. Gold Total 48 25 b. Complete the following table of expected counts under the assumption that the null hypothesis is true. (Round your answers to 1 decimal place). Dead Red 56 129 Alive c. Use appropriate technology to compute the value of the test statistic (rounded to 2 decimal places) and the P-value (rounded to 3 decimal places). x² = P-value = d. Interpret the results of the significance test. O The P-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant. O The P-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant.

MATLAB: An Introduction with Applications
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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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 a = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color. Blue Gold Red Total Alive 39 18 32 89 a. Choose the correct null and alternative hypotheses. O Ho: There is an association between Star Trek fatalities and uniform color. Ha There is no association between Star Trek fatalities and uniform color. O Ho: There is no association between Star Trek fatalities and uniform color. Ha There is an association between Star Trek fatalities and uniform color. Blue b. Complete the following table of expected counts under the assumption that the null hypothesis is true. (Round your answers to 1 decimal place). Gold Dead 9 7 24 40 Red = Total 48 25 56 129 P-value = Alive c. Use appropriate technology to compute the value of the test statistic (rounded to 2 decimal places) and the P-value (rounded to 3 decimal places). Dead d. Interpret the results of the significance test. O The P-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant. O The P-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant.
Transcribed Image Text: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 a = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color. Blue Gold Red Total Alive 39 18 32 89 a. Choose the correct null and alternative hypotheses. O Ho: There is an association between Star Trek fatalities and uniform color. Ha There is no association between Star Trek fatalities and uniform color. O Ho: There is no association between Star Trek fatalities and uniform color. Ha There is an association between Star Trek fatalities and uniform color. Blue b. Complete the following table of expected counts under the assumption that the null hypothesis is true. (Round your answers to 1 decimal place). Gold Dead 9 7 24 40 Red = Total 48 25 56 129 P-value = Alive c. Use appropriate technology to compute the value of the test statistic (rounded to 2 decimal places) and the P-value (rounded to 3 decimal places). Dead d. Interpret the results of the significance test. O The P-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant. O The P-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant.
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