Page 282 - DMGT404 RESEARCH_METHODOLOGY

Research Methodology

Notes
Item Wage-Painter Wage-Carpenter Wage-Plumber
/day /day /day
Rank Rank Rank
1 64 5 72 7.5 51 1
2 66 6 74 9.5 52 2
3 72 7.5 75 11 54 3
4 74 9.5 78 12 56 4
5 80 13
Total 276 R = 28 379 R = 53 213 R = 10
1
3
2

n = 4, n = 5, n = 4
1 2 3
n = n + n + n = 4 + 5 + 4 = 13
1 2 3
R = 28, R = 53, R = 10
1 2 3
2
12 é R ù
H = å ê 1 ú - 3(n + 1)
( n n + ) 1 ë n 1 û
2
12 å é 28 2 + 53 2 + 10 ù - + =
H = ) ê ú 3(3 1) 9.61
13 (13 1+ ë 4 5 4 û
At 5% level of significance, for d.f. = (3 - 1) = 2, the table value is 5.991. Computed value 9.61 is
greater.
Conclusion: Reject the Null hypothesis that the three populations are different.

Self Assessment

Fill in the blanks:
13. ............................. Test is used to determine whether two independent samples have been
drawn from the same population.
14. ............................. Test is used for examining the efficacy of fit between observed samples
and expected frequency distribution.

15. Sign-test is used with ............................. pairs.
16. Non-parametric tests are used to test the hypothesis with ............................. and
............................. data.

17. ............................. Test is used to examine the presence of trends.
18. ............................. test involves the greater risk of accepting a false hypothesis.

12.7 Summary

 Hypothesis testing is the use of statistics to determine the probability that a given
hypothesis is true.
 The usual process of hypothesis testing consists of four steps.

 Formulate the null hypothesis and the alternative hypothesis.

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