My previous post came out unreadable - I am wondering if someone could check my work and see if I am correct? Women in the Military --This table lists the number of officers and enlisted personnel for women in the military. At ?=0.05, is there sufficient evidence to conclude that a relationship exists between rank and branch of the Armed Forces? Officers Enlisted Army 10,791 (11463.06) 62,491 (61818.94) Navy 7,816 (7909.734) 42,750 (42656.27) Marine 932 (1635.725) 9,525 (8821.275) Air Force 11,819 (10349.48) 54,344 (55813.52) H?: There is no relationship between the rank and branch for women enlisted in the Armed Forces. H?: There is a relationship between the rank and branch for women enlisted in the Armed Forces (claim). 4-1*2-1=3 C.V. = 7.815 Yes-accept the claim - there is sufficient evidence to conclude that a relationship exists for women enlisted in the Armed Forces. x^2=?(0-?)2/? Solution You neglected to give the value of the test-statistic. Calculate (xij - E (x ij))2/E(xij) = (10791-11463.06)^2/11463.06 + (62491-61818.94)^2/61818.94 + (7816-7909.734)^2/7909.734 + (42750-42656.27)^2/42656.27 + (932-1635.725)^2/1635.725 + (9525-8821.275)^2/8821.275 + (11819-10349.48)^2/10349.48 + (54344-55813.52)^2/55813.52 = 654.2719 654.2719 > 7.815, so we conclude that there is a relationship between branch and rank..

1. My previous post came out unreadable - I am wondering if someone could check my work and
see if I am correct?
Women in the Military --This table lists the number of officers and enlisted personnel for
women in the military. At ?=0.05, is there sufficient evidence to conclude that a relationship
exists between rank and branch of the Armed Forces?
Officers Enlisted
Army 10,791 (11463.06) 62,491 (61818.94)
Navy 7,816 (7909.734) 42,750 (42656.27)
Marine 932 (1635.725) 9,525 (8821.275)
Air Force 11,819 (10349.48) 54,344 (55813.52)
H?: There is no relationship between the rank and branch for women enlisted in the Armed
Forces.
H?: There is a relationship between the rank and branch for women enlisted in the Armed
Forces (claim).
4-1*2-1=3
C.V. = 7.815
Yes-accept the claim - there is sufficient evidence to conclude that a relationship exists for
women enlisted in the Armed Forces.
x^2=?(0-?)2/?
Solution
You neglected to give the value of the test-statistic.
Calculate (xij - E (x ij))2/E(xij) =
(10791-11463.06)^2/11463.06 + (62491-61818.94)^2/61818.94 +
(7816-7909.734)^2/7909.734 + (42750-42656.27)^2/42656.27 +
(932-1635.725)^2/1635.725 + (9525-8821.275)^2/8821.275 +
(11819-10349.48)^2/10349.48 + (54344-55813.52)^2/55813.52 =

2. 654.2719
654.2719 > 7.815, so we conclude that there is a relationship between branch and rank.