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 91 65 45 29 Navy 132 62 40 25 Air Force 91 87 68 26 Marines 100 86 49 28 What can be concluded at the α = 0.05 significance level? a. What is the correct statistical test to use? Goodness-of-Fit Paired t-test Homogeneity Independence b. What are the null and alternative hypotheses? Ho: O The distribution of blood types is not the same for each branch of the military. 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. H₁: O The distribution of blood types is not the same for each branch of the military. The distribution of blood types is the same for each branch of the military. Blood type and branch of the military are independent. Blood type and branch of the military are dependent. c. The test-statistic for this data = show your answer to three decimal places.) (Please d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer ✰ α f. Based on this, we should accept the null fail to reject the null 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 blood type and branch of the military are

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
Question
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
91
65
45
29
Navy
132
62
40
25
Air Force
91
87
68
26
Marines
100
86
49
28
What can be concluded at the α = 0.05 significance level?
a. What is the correct statistical test to use?
Goodness-of-Fit
Paired t-test
Homogeneity
Independence
b. What are the null and alternative hypotheses?
Ho:
O The distribution of blood types is not the same
for each branch of the military.
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.
H₁:
O The distribution of blood types is not the same
for each branch of the military.
The distribution of blood types is the same for
each branch of the military.
Blood type and branch of the military are
independent.
Blood type and branch of the military are
dependent.
c. The test-statistic for this data =
show your answer to three decimal places.)
(Please
d. The p-value for this sample =
(Please show
your answer to four decimal places.)
e. The p-value is Select an answer ✰ α
f. Based on this, we should
accept the null
fail to reject the null
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
blood type and branch of the military are
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 O A B AB Army 91 65 45 29 Navy 132 62 40 25 Air Force 91 87 68 26 Marines 100 86 49 28 What can be concluded at the α = 0.05 significance level? a. What is the correct statistical test to use? Goodness-of-Fit Paired t-test Homogeneity Independence b. What are the null and alternative hypotheses? Ho: O The distribution of blood types is not the same for each branch of the military. 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. H₁: O The distribution of blood types is not the same for each branch of the military. The distribution of blood types is the same for each branch of the military. Blood type and branch of the military are independent. Blood type and branch of the military are dependent. c. The test-statistic for this data = show your answer to three decimal places.) (Please d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer ✰ α f. Based on this, we should accept the null fail to reject the null 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 blood type and branch of the military are
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning