Testing whether if participating in a formal mentor program significantly increased racial minorities' number of high status contacts. To test, random sample collected-6 racial minorities who participated in program. Measured their number of high status contacts before they participated and their numvers after. Person 1- before=0 after=2 Person 2-before=1 after=1 Person 3-before= 0 after=2 Person 4- before=2 after=4 Person 5- before=3 after =3 Person 6- before=1 after=2 A. State the null and the resear h hypotheses, b. Idebtify critical values of z or t used to define the decision rule, c.calculate the test statistic, d. Report p-vqlue, e. Report your findings
Testing whether if participating in a formal mentor program significantly increased racial minorities' number of high status contacts. To test, random sample collected-6 racial minorities who participated in program. Measured their number of high status contacts before they participated and their numvers after.
Person 1- before=0 after=2
Person 2-before=1 after=1
Person 3-before= 0 after=2
Person 4- before=2 after=4
Person 5- before=3 after =3
Person 6- before=1 after=2
A. State the null and the resear h hypotheses, b. Idebtify critical values of z or t used to define the decision rule, c.calculate the test statistic, d. Report p-vqlue, e. Report your findings
The given information is that the number of high status contacts of 6 persons before and after they participated in program.
A.
Hypotheses:
Null hypothesis:
H0: µd = 0.
That is, there is no significant difference in the number of high status contracts.
Alternative hypothesis:
H1: µd > 0.
That is, there is a significant increase in the number of high status contacts.
B.
Critical value:
Here, the test is right-tailed.
Degrees of freedom = n –1 = 6 – 1 = 5.
Let assume level of significance is 0.05.
Calculate the t-critical value using Excel is as follows:
For right tail test, the t-critical value is 2.0150.
Decision rule:
If t test statistic > 2.0150, then reject the null hypothesis.
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