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 OABABArmy111586125Navy104706429Air Force129675327Marines130676521 What can be concluded at the αα = 0.10 significance level?What is the correct statistical test to use?IndependenceHomogeneityGoodness-of-FitPaired t-testWhat are the null and alternative hypotheses?H0:H0: The distribution of blood types is the same for each branch of the military.Blood type and branch of the military are dependent.The distribution of blood types is not the same for each branch of the military.Blood type and branch of the military are independent.H1:H1: The distribution of blood types is the same for each branch of the military.Blood type and branch of the military are dependent.The distribution of blood types is not the same for each branch of the military.Blood type and branch of the military are independent.The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer less than (or equal to) greater than αα Based on this, we shouldreject the nullaccept the nullfail to reject the nullThus, 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 militaryThere is sufficient evidence to conclude that blood type and branch of the military are independent.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.

Given Information: Frequencies of Military Branch and Blood Type O A B AB Army 111 58 61 25…

Answered: A researcher is interested in…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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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

	O	A	B	AB
Army	111	58	61	25
Navy	104	70	64	29
Air Force	129	67	53	27
Marines	130	67	65	21

What can be concluded at the αα = 0.10 significance level?

What is the correct statistical test to use?
- Independence
- Homogeneity
- Goodness-of-Fit
- Paired t-test
What are the null and alternative hypotheses?
H0:H0:
- The distribution of blood types is the same for each branch of the military.
- Blood type and branch of the military are dependent.
- The distribution of blood types is not the same for each branch of the military.
- Blood type and branch of the military are independent.
H1:H1:
- The distribution of blood types is the same for each branch of the military.
- Blood type and branch of the military are dependent.
- The distribution of blood types is not the same for each branch of the military.
- Blood type and branch of the military are independent.
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer less than (or equal to) greater than αα
Based on this, we should
- reject the null
- accept the null
- fail to reject the null
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 independent.
- 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.

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