Question

Women in the Military This table lists the numbers of officers and enlisted personnel for women in the military. At α = 0.01, is there sufficient evidence to conclude that a relationship exists between rank and branch of the Armed Forces? Officers Enlisted Army 10,989 62,293 Navy 7,659 42,907 Marine Corps 999 9,458 Air Force 11,711 54,452 Part 1 of 5 State the hypotheses and identify the claim. H0: Rank is independent of the branch of the Armed Forces. H1: Rank is dependent on the branch of the Armed Forces. (CLAIM) Part 2 of 5 Find the critical value. Round the answer to at least three decimal places. Critical value = Part 3 of 5 Compute the test value. Round the intermediate and final answers to at least three decimal places. χ2 = Part 4 of 5 Make the decision. Reject/Do not reject the null hypothesis. Part 5 of 5 Summarize the results. There is/is not enough evidence to support the claim that rank is dependent on the branch of the Armed Forces.

          Women in the Military
This table lists the numbers of officers and enlisted personnel for women in the military. At α = 0.01, is there sufficient evidence to conclude that a relationship exists between rank and branch of the Armed Forces?

Officers Enlisted
Army 10,989 62,293
Navy 7,659 42,907
Marine Corps 999 9,458
Air Force 11,711 54,452

Part 1 of 5
State the hypotheses and identify the claim.
H0: Rank is independent of the branch of the Armed Forces.
H1: Rank is dependent on the branch of the Armed Forces. (CLAIM)

Part 2 of 5
Find the critical value. Round the answer to at least three decimal places.
Critical value = 

Part 3 of 5
Compute the test value. Round the intermediate and final answers to at least three decimal places.
χ2 = 

Part 4 of 5
Make the decision.
Reject/Do not reject the null hypothesis.

Part 5 of 5
Summarize the results.
There is/is not enough evidence to support the claim that rank is dependent on the branch of the Armed Forces.

Added by Julia D.

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