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 101 60 58 24
Navy 95 64 49 26
Air Force 104 54 64 21
Marines 111 62 49 23
What can be concluded at the $\alpha = 0.01$ significance level?
a. What is the correct statistical test to use?
Goodness-of-Fit
Homogeneity
Independence
Paired t-test
b. What are the null and alternative hypotheses?
$H_0$:
Blood type and branch of the military are independent.
Blood type and branch of the military are dependent.
The distribution of blood types is the same for each branch of the military.
The distribution of blood types is not the same for each branch of the military.
$H_1$:
Blood type and branch of the military are independent.
The distribution of blood types is not the same for each branch of the military.
Blood type and branch of the military are dependent.
The distribution of blood types is the same for each branch of the military.
c. The test-statistic for this data = (Please show your answer to three decimal places.)
d. The p-value for this sample = (Please show your answer to four decimal places.)
e. The p-value is Select an answer $\alpha$
f. Based on this, we should
accept the null
reject the null
fail to reject the null
g. Thus, the final conclusion is...
There is insufficient evidence to conclude that the distribution of blood types is not the same for each branch of the military.
There is sufficient evidence to conclude that the distribution of blood types is not the same for each branch of the military
There is sufficient evidence to conclude that blood type and branch of the military are dependent.
There is insufficient evidence to conclude that blood type and branch of the military are dependent.
There is sufficient evidence to conclude that blood type and branch of the military are independent.