2 independence

A researcher is interested in investigating whether the military branch a person signs up for and the person's blood type are dependent. The table below shows the results of a survey. Frequencies of Military Branch and Blood Type O A B AB Army 131 83 57 23 Navy 139 52 47 20 Air Force 100 73 64 27 Marines 109 69 40 30 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? O Paired t-test O Independence O Goodness-of-Fit Homogeneity b. What are the null and alternative hypotheses? Ho: The distribution of blood types is the same for each branch of the military. O Blood type and branch of the military are dependent. O Blood type and branch of the military are independent. The distribution of blood types is not the same for each branch of the military. H1: The distribution of blood types is the same for each branch of the military. O The distribution of blood types is not the same for each branch of the military. O Blood type and branch of the military are dependent. O Blood type and branch of the military are independent. c. The test-statistic for this data = (Please show your answer to three decimal places.)