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 38 11 49 Gold 22 10 32 Red 29 24 53 Total 89 45 134 a. Choose the correct null and alternative hypotheses. Ho: There is no association between Star Trek fatalities and uniform color. Ha There is an association between Star Trek fatalities and uniform color. 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). Blue Gold Red Alive Dead 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 = d. Interpret the results of the significance test. The P-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant. The P-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant.