Chi Squared Test of Independence 6. A study was conducted to see if there was a
ID: 3325162 • Letter: C
Question
Chi Squared Test of Independence 6. A study was conducted to see if there was a relationship between the gender of an attorney and the type of practice he or she is engaged in. 0.05, can it be assumed that gender and type of practice are independent. At alpha Gender PrivatePractice Law firm Government totals male 112 female 64 16 18 34 12 18 30 esis 140 100 240 total 176 State the null and alternative hypoth State the observed values. State the expected values 4 points 4 points 4 points Give a conclusion for the test 4 pointsExplanation / Answer
The Hypothesis:
H0: There is no relation between gender of an attorney and the type of practice he or she is engaged in.
Ha: There is a relation between gender of an attorney and the type of practice he or she is engaged in.
The Expected value data are in the table below. Each Cell = Row total * Column Total/N. N = 240
The Test Statistic: The table below gives the calculation of 2.
2test = 7.96
The Critical Value: The critical value at = 0.05, df = (r-1) * (c-1) = (2-1) * (3-1) = 2
2critical = 5.99
The Decision Rule: If 2 test is > 2 critical, then Reject H0.
The Decision: Since If 2 test (7.96) is < > 2 critical (5.99), We Reject H0.
The Conclusion: There is sufficient evidence at the 95% significance level to conclude that there is a relation between gender of an attorney and the type of practice he or she is engaged in.
Observed Pvt Practice Law Firm Government Total Male 112 16 12 140 Female 64 18 18 100 Total 176 34 30 240 Expected Pvt Practice Law Firm Government Total Male 102.67 19.83 17.50 140 Female 73.33 14.17 12.50 100 Total 176 34 30 240Related Questions
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