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job placement not severely disabled severely disabled not placed 23 100 placed 4

ID: 3307338 • Letter: J

Question

job placement not severely disabled severely disabled not placed 23 100 placed 42 23 compute ... Question: Job Placement Not Severely Disabled Severely Disabled Not Placed 23 100 Placed ... Job Placement Not Severely Disabled Severely Disabled Not Placed 23 100 Placed 42 23 Compute the value of the chi-square for the data in the table above. From these data, would you say that the relationship between level of disability and whether or not they are placed is weak or strong? Explain your answer....There are good examples in the book for how to do this, so don't leave any valuable points on the table! (Or, use the Excel spreadsheet in the resources.) a) Calculate the expected frequencies, the deviations (observed - expected). Square the deviation and divide by the expected frequencies (in other words, calculate (O-E)2/E. Then sum to an overall measure of discrepancy. b) Convert the Chi-square into a p-value using degrees of freedom (d.f.) = (c-1)(r-1) c) Is your p-value sufficiently small to reject Ho at alpha = .05? In other words, is there enough statistical evidence for a difference in visits based on disability status?

Explanation / Answer

a) H0: There is no relationship between level of disability and whether or not they are placed is weak or strong

H1: There is relationship between level of disability and whether or not they are placed is weak or strong

Let the los be alpha = 5%

The expoected frequencies are

The chisquare contribution values are

b)
Test Statistic, X^2: 0.4665

Critical X^2: 3.841456
P-Value: 0.4946

df = (2-1)(2-1) = 1 df

c) Here P-value > alpha 0.05, so we accept H0

Thus we conclude that  there is no relationship between level of disability and whether or not they are placed is weak or strong

Not Severely Severly Total Not Placed 58.173 25.827 84 Placed 1315.827 584.173 1900 Total 1374 610 1984