lu LROSD hat responded with a 4-5 were recoded as \"Racist\" Is there evidence t
ID: 3309877 • Letter: L
Question
lu LROSD hat responded with a 4-5 were recoded as "Racist" Is there evidence to suggest a relationship exists between a person's self perception of their level of racism and their race? White Black Hispanic Other 28 Not Racist 286 Sometimes49 Racist 244 64 35 15 19 27. As part of a campus research project, a student desired to help validate his research by comparing the distri- bution of Race on campus with that reported in his survey. The following table represents the observed values from the survey along with the true proportions based on information published by the campus. Does the data from the survey reasonably match the racial makeup of the campus? Asian Black Hispanic White Mixed Other/Unknown Race Observed Published Proportions | 1.6% | 6.6% | 57.0% | 29.2% | 2.4% 28 214 105 3.2%Explanation / Answer
The Expected value data are in the table below. Each Cell = Row total * Column Total/N. N = 760
The Hypothesis:
H0: There is no relation between a persons self perception of the level of racism and their race.
Ha: There is a relation between a persons self perception of the level of racism and their race.
The Test Statistic: The table below gives the calculation of 2.
2test = 9.464
The Critical Value: The critical value at = 0.05(Default) , degrees of freedom = (r – 1) * (c -1) = (4 - 1) * (3 - 1) = 3 *2 = 6
2critical = 12.59
The Decision Rule: If 2 test is > 2 critical, then Reject H0.
The Decision: Since If 2 test (9.464) is < 2 critical (12.59), We Fail to reject H0.
The Conclusion: There is insufficient evidence at the 95% significance level to conclude that there is a relation between a persons self perception of the level of racism and their race.
Q27)
In this question, the total N = 367. Each expected cell = (%/100) * 367.
Eg Expected value for Asian = (1.6/100) * 367 = 5.872. The table below gives the the Expected Values.
The Hypothesis:
H0: The data matches the racial makeup of the campus (Observed and Expected values are almost the same)
Ha: The data does not match the racial makeup of the campus (Observed and Expected values are different)
The Test Statistic: The table below gives the calculation of 2.
2test = 2.352
The Critical Value: The critical value at = 0.05 default , degrees of freedom = (r – 1) = 6 - 1 = 5
2critical = 11.07
The Decision Rule: If 2 test is > 2 critical, then Reject H0.
The Decision: Since If 2 test (2.352) is < 2 critical (11.07), We Reject/Fail to reject H0.
The Conclusion: There is insufficient evidence at the 95% significance level to conclude that the data does not match the racial makeup of the campus (Observed and Expected values are different)
Observed White Black Hispanic Other Total Not Racist 286 28 244 64 622 Sometimes 49 8 35 15 107 Racist 19 3 6 3 31 Total 354 39 285 82 760 Expected White Black Hispanic Other Total Not Racist 289.72 31.92 233.25 67.11 622.00 Sometimes 49.84 5.49 40.13 11.54 107.00 Racist 14.44 1.59 11.63 3.34 31.00 Total 354 39 285.00 82.00 760Related Questions
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