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 random sample of how many crew-members in each area have died onscreen and their shirt color. Alive Dead Total Blue 40 9 49 Gold 18 8 26 Red 28 23 51 Total 86 40 126 a. This is a O 2x2 table 3x2 table 3x3 table 3x4 table b. If there is NO association between shirt color and dying on Star Trek, then the following table shows the expected cell counts. Alive Dead Blue 33.44 15.56 Gold 17.75 Red 8.25 34.81 16.19 Select all the assumptions true for the chi square test for independence between shirt color and dying on Star Trek. (Rememebr, assumptions are slightly different for different sizes of two-way table) Expected cell count is 5 or more for each cell. Data are independent and collected randomly. The average expected cell count is 5 or more. The smallest expected cell count is 1 or more. Expected cell count is 1 or more for each cell. c. The side-by-side bar chart below roughly conveys the conditional distributions of the response variable (dead or alive). 100 PERCENT 100 75 50 Blue Gold Rad SHIRT STATUS Alive Which of the side-by-side bar charts below (roughly) would we expect to see if there is no association between shirt color and living? PERCENT 76- STATUS 50 SHIRT PERCENT 100 STATUS Alve Dred 25 SHIRT PERCENT 100 76 STATUS 50 25 d. Based on this evidence, do you suspect there is an association between shirt color and dying on Star Trek? O No, because the observed and expected conditional distributions are same O Yes, because the observed and expected conditional distributions are not same