Is the racial distribution for students on work study different from the racial distribution for students not on work study? The results of a recent study are shown below. Frequencies of Race for Students On and Not On Work Study   White Black Hispanic Asian Other Work Study 76 49 83 64  20  Not Work Study 84 68 75 89  39    What can be concluded at the αα = 0.10 significance level What is the correct statistical test to use? Independence Paired t-test Goodness-of-Fit Homogeneity What are the null and alternative hypotheses? H0:H0:  The racial distribution for students on work study is not the same as it is for students not on work study. The racial distribution for students on work study is the same as it is for students not on work study. Race and work study status are independent. Race and work study status are dependent. H1:H1:  The racial distribution for students on work study is not the same as it is for students not on work study. The racial distribution for students on work study is the same as it is for students not on work study. Race and work study status are dependent. Race and work study status are independent. The test-statistic for this data = (Please show your answer to three decimal places.)

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Is the racial distribution for students on work study different from the racial distribution for students not on work study? The results of a recent study are shown below.

Frequencies of Race for Students On and Not On Work Study

  White Black Hispanic Asian Other
Work Study 76 49 83 64  20 
Not Work Study 84 68 75 89  39 

  What can be concluded at the αα = 0.10 significance level

  1. What is the correct statistical test to use?
    • Independence
    • Paired t-test
    • Goodness-of-Fit
    • Homogeneity



  2. What are the null and alternative hypotheses?
    H0:H0: 
    • The racial distribution for students on work study is not the same as it is for students not on work study.
    • The racial distribution for students on work study is the same as it is for students not on work study.
    • Race and work study status are independent.
    • Race and work study status are dependent.



    H1:H1: 
    • The racial distribution for students on work study is not the same as it is for students not on work study.
    • The racial distribution for students on work study is the same as it is for students not on work study.
    • Race and work study status are dependent.
    • Race and work study status 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 greater than less than (or equal to)  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 racial distribution for students on work study is not the same as it is for students not on work study.
    • There is sufficient evidence to conclude that the racial distribution for students on work study is the same as it is for students not on work study.
    • There is sufficient evidence to conclude that race and work study status are dependent.
    • There is sufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study.
    • There is insufficient evidence to conclude that race and work study status are dependent.

 

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