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 AB 100 42 Army Navy Afr Force 50 25 122 62 40 28 115 78 42 28 Marines 125 88 50 23 What can be concluded at the a = 0.05 significance level?

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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
AB
Army
Navy
Air Force
100
50
42
25
122
62
40
28
115
78
42
28
Marines
125
88
50
23
What can be concluded at the a = 0.05 significance level?
a. What is the correct statistical test to use?
O Homogeneity
O Paired t-test
O Independence
O Goodness-of-Fit
b. What are the null and alternative hypotheses?
Ho:
O Blood type and branch of the military are dependent.
O The distribution of blood types is not the same for each branch of the military.
O The distribution of blood types is the same for each branch of the military.
O Blood type and branch of the military are independent.
H1:
O Blood type and branch of the military are dependent.
O The distribution of blood types is not the same for each branch of the military.
O The distribution of blood types is the same for each branch of the military.
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.)
Transcribed Image Text: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 AB Army Navy Air Force 100 50 42 25 122 62 40 28 115 78 42 28 Marines 125 88 50 23 What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test O Independence O Goodness-of-Fit b. What are the null and alternative hypotheses? Ho: O Blood type and branch of the military are dependent. O The distribution of blood types is not the same for each branch of the military. O The distribution of blood types is the same for each branch of the military. O Blood type and branch of the military are independent. H1: O Blood type and branch of the military are dependent. O The distribution of blood types is not the same for each branch of the military. O The distribution of blood types is the same for each branch of the military. 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.)
H1:
O Blood type and branch of the military are dependent.
O The distribution of blood types is not the same for each branch of the military.
O The distribution of blood types is the same for each branch of the military.
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.)
d. The p-value for this sample =
(Please show your answer to four decimal places.)
e. The p-value is Select an answer
f. Based on this, we should
O fail to reject the null
O reject the null
O accept the null
g. Thus, the final conclusion is...
O There is insufficient evidence to conclude that the distribution of blood types is not the same
for each branch of the military.
O There is insufficient evidence to conclude that blood type and branch of the military are
dependent.
O There is sufficient evidence to conclude that blood type and branch of the military are
dependent.
O There is sufficient evidence to conclude that blood type and branch of the military are
independent.
O There is sufficient evidence to conclude that the distribution of blood types is not the same for
each branch of the military
Transcribed Image Text:H1: O Blood type and branch of the military are dependent. O The distribution of blood types is not the same for each branch of the military. O The distribution of blood types is the same for each branch of the military. 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.) d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer f. Based on this, we should O fail to reject the null O reject the null O accept the null g. Thus, the final conclusion is... O There is insufficient evidence to conclude that the distribution of blood types is not the same for each branch of the military. O There is insufficient evidence to conclude that blood type and branch of the military are dependent. O There is sufficient evidence to conclude that blood type and branch of the military are dependent. O There is sufficient evidence to conclude that blood type and branch of the military are independent. O There is sufficient evidence to conclude that the distribution of blood types is not the same for each branch of the military
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