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 122 52 Army BAB 12 22

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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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
0
A
B AB
133
53
42
23
96
79 41
27
107 72 66
23
128 58 51 26
What can be concluded at the a = 0.01 significance level?
Army
Navy
Air Force
Marines
a. What is the correct statistical test to use?
O Independence
Homogeneity
Goodness-of-Fit
Paired t-test
b. What are the null and alternative hypotheses?
Ho:
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.
H₁:
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.
Blood type and branch of the military are independent.
c. The test-statistic for this data =
d. The p-value for this sample
(Please show your answer to three decimal places.)
(Please show your answer to four 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 0 A B AB 133 53 42 23 96 79 41 27 107 72 66 23 128 58 51 26 What can be concluded at the a = 0.01 significance level? Army Navy Air Force Marines a. What is the correct statistical test to use? O Independence Homogeneity Goodness-of-Fit Paired t-test b. What are the null and alternative hypotheses? Ho: 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. H₁: 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. Blood type and branch of the military are independent. c. The test-statistic for this data = d. The p-value for this sample (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)
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