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.)

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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?

  1. What is the correct statistical test to use?
    • Independence
    • Homogeneity
    • Goodness-of-Fit
    • Paired t-test
  2. 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.
  3. The test-statistic for this data = (Please show your answer to three decimal places.)

  4. The p-value for this sample = (Please show your answer to four decimal places.) 

  5. The p-value is Select an answer less than (or equal to) greater than  αα 

  6. Based on this, we should
    • reject the null
    • accept the null
    • fail to reject the null
  7. 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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