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 77 41 96 50  24  Not Work Study 70 79 86 73  30    What can be concluded at the αα = 0.10 significance level What is the correct statistical test to use? Goodness-of-Fit Homogeneity Paired t-test Independence What are the null and alternative hypotheses? H0:H0:  Race and work study status are dependent. Race and work study status are independent. The racial distribution for students on work study is the same as it is for students not on work study. The racial distribution for students on work study is not the same as it is for students not on work study. H1:H1:  The racial distribution for students on work study is not the same as it is for students not on work study. Race and work study status are independent. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 77 41 96 50  24 
Not Work Study 70 79 86 73  30 

  What can be concluded at the αα = 0.10 significance level

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



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



    H1:H1: 
    • The racial distribution for students on work study is not the same as it is for students not on work study.
    • Race and work study status are independent.
    • 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.
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