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. Alive Dead Total Blue 41 11 52 Gold 18 6 24 Red 31 24 55 Total 90 41 131 a. Choose the correct null and alternative hypotheses. 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. 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. 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) and the P-value (rounded to 3 decimal places). X = P-value =