searcher is interested in investigating whether the military branch a person signs up for and the on's blood type are dependent. The table below shows the results of a survey. Frequencies of Military Branch and Blood Type O A Army Navy Air Force B AB 137 52 40 22 139 51 65 24 121 82 69 21 50 60 25 Marines 91 Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the you may want to save it as an Excel Workbook. the a= 0.01 significance level. . What is the correct statistical test to use? O Independence O Homogeneity Goodness-of-Fit Paired t-test . What are the null and alternative hypotheses? Ho: 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. The distribution of blood types is the same for each branch of the military. Blood type and branch of the military are dependent. Ha: O The distribution of blood types is the same for each branch of the military. Blood type and branch of the military are independent. O The distribution of blood types is not the same for each branch of the military. Blood type and branch of the military are dependent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
137 52 40
22
139 51 65
24
121
82
69 21
Marines 91
50 60 25
Army
Navy
Air Force
Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the
file, you may want to save it as an Excel Workbook.
Use the a= 0.01 significance level.
a. What is the correct statistical test to use?
O Independence
O Homogeneity
Goodness-of-Fit
O Paired t-test
b. What are the null and alternative hypotheses?
Ho:
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.
O The distribution of blood types is the same for each branch of the military.
Blood type and branch of the military are dependent.
Ha:
The distribution of blood types is the same for each branch of the military.
Blood type and branch of the military are independent.
O 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 test
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 137 52 40 22 139 51 65 24 121 82 69 21 Marines 91 50 60 25 Army Navy Air Force Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. Use the a= 0.01 significance level. a. What is the correct statistical test to use? O Independence O Homogeneity Goodness-of-Fit O Paired t-test b. What are the null and alternative hypotheses? Ho: 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. O The distribution of blood types is the same for each branch of the military. Blood type and branch of the military are dependent. Ha: The distribution of blood types is the same for each branch of the military. Blood type and branch of the military are independent. O 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 test
c. The test-statistic for this data =
d. The p-value for this sample
=
e. The p-value is Select an answer
f. Based on this, we should
O fail to reject the null
O accept the null
O reject the null
α
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
g. Thus, the final conclusion is...
O There is sufficient evidence to conclude that blood type and branch of the military are
dependent.
There is insufficient evidence to conclude that the distribution of blood types is not the same
for each branch of the military.
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
independent.
There is sufficient evidence to conclude that the distribution of blood types is not the same for
each branch of the military
Each expected count is 5 or more
Independent samples
h. Check the assumptions. Select all that are true for this test and given data.
Population has Normal distribution
Transcribed Image Text:c. The test-statistic for this data = d. The p-value for this sample = e. The p-value is Select an answer f. Based on this, we should O fail to reject the null O accept the null O reject the null α (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) g. Thus, the final conclusion is... O There is sufficient evidence to conclude that blood type and branch of the military are dependent. There is insufficient evidence to conclude that the distribution of blood types is not the same for each branch of the military. 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 independent. There is sufficient evidence to conclude that the distribution of blood types is not the same for each branch of the military Each expected count is 5 or more Independent samples h. Check the assumptions. Select all that are true for this test and given data. Population has Normal distribution
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