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 or = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color. Blue Gold Red Total Alive Dead Total 42 9 51 21 6 27 28 26 54 91 41 132 a. Choose the correct null and alternative hypotheses. Cl Hg: There is an association between Star Trek fatalities and uniform color. Ha There is no association between Star Trek fatalities and uniform color. Cr Hg: There is no association between Star Trek fatalities and uniform color. Ha There is an association between Star Trek fatalities and uniform color. b. Complete the following table of expected counts under the assumption that the null hypothesis is true. (Round your answers to 1 decimal place). Alive Dead Blue Gold Red c. Use appropriate technology to compute the value of the test statistic (rounded to 2 decimal places). X2: d. Interpret the results of the significance test. (:3 Do not reject the null hypothesis. There is sufficient evidence to conclude that a crew- member's fatality onscreen is dependent on their uniform color. 0 Reject the null hypothesis. There is sufficient evidence to conclude that a crew- member's fatality onscreen is dependent on their uniform color. Cl Do not reject the null hypothesis. There is insufficient evidence to conclude that a crew- member's fatality onscreen is dependent on their uniform color. x'x 'st Reject the null hypothesis. There is insufficient evidence to conclude that a crew- member's fatality onscreen is dependent on their uniform color