SOLUTION: A random sample of 100 adult workers, 60 men and 40 women, is selected in a large Midwestern city. Of the group, 42 men and 17 women are union members. Does union membership differ

Question 446665: A random sample of 100 adult workers, 60 men and 40 women, is selected in a large Midwestern city. Of the group, 42 men and 17 women are union members. Does union membership differ on the basis of gender? State the independent and dependent variables.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A random sample of 100 adult workers, 60 men and 40 women, is selected in a large Midwestern city. Of the group, 42 men and 17 women are union members. Does union membership differ on the basis of gender? State the independent and dependent variables.
----------------------------
.................union...........non-union
men...............42................58........100
women.............17................83........100
============================
Ho: row and column factors are independent
Ha: they are dependent
-------------
I ran a Chi-Sq test on the data and got the following:
test statistic: Chi-Sq = 15.026
p-value: 0.00010605
=======================
Conclusion: Since the p-value is less than 5%, reject Ho.
the test result supports the conclusion there is a relation
of union membership to gender.
=======================
Cheers,
Stan H.
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