For the following partially completed contingency table, find the missing value for W. Attitude Job Classification Favour Neutral Oppose TOTAL Casual 22 W V 121 Part Time X 12 49 78 Full Time 57 38 T Y TOTAL Z U 250 408

Question

For the following partially completed contingency table, find the missing value for W. Attitude Job Classification Favour Neutral Oppose TOTAL Casual 22 W  V  121 Part Time X  12 49 78 Full Time 57 38 T  Y  TOTAL Z  U  250 408

BlackTom AI · Accepted Answer

The problem presents a partially completed contingency table and asks for the missing value W, but it also states totals for rows and columns that are not fully labeled in a way that clearly maps to each cell.

First, I restate what we know: there are categories for Attitude (Favour, Neutral, Oppose) and Job Classification ( Casual, Part Time, Full Time ), with some cells filled and others marked as W, X, Y, Z, U, T, V, etc. There are also two overall totals at the far right or bottom (250 and 408) that presumably correspond to column or row sums. However, the exact placement of each total and the precise mapping of each letter to a specific cell are not clearly defined in the provided excerpt.

Because of this ambiguity, several key pieces of information needed to determine W are missing:
- We need to know exactly which column and row W belongs to. Is W the value in the Casual row under Neutral, the Part Time row under Favour, or some other cell? The position of W must be unambiguous to apply any arithmetic.
- We need to know the meaning of the two large totals (250 and 408). Do these represent column totals, row totals, or the grand total? Without this alignment, we cannot set up the correct equation for the unknown cell.
- We also need to know all the other given values in the same row and column that would be required to enforce the row and column sums. If some of those are unknown (X, Y, Z, U, T, V, etc.), multiple solutions could satisfy the available totals, leaving W indeterminate.

In scenarios like this, the standard approach would be:
- Identify the exact cell for W and write down the row total and column total that include that cell.
- Use the known totals for that row or column to set up an equation in W, substituting any other known values in that row/column.
- Check consistency with the other given totals to see if a unique value for W emerges or if multiple values fit (in which case the information is insufficient).

Given the information as presented, there isn’t enough complete, unambiguous data to uniquely determine W. You would need a clear mapping of each labeled value (W, X, Y, Z, U, T, V) to its exact cell, plus the precise definitions of the row/column totals, to compute W deterministically.

If you can provide a clarified table showing exactly which cells correspond to each letter and what the 250 and 408 totals represent (row totals, column totals, or the grand total), I can walk through the calculation step by step and determine W (or confirm that it cannot be determined from the given data).

For the following partially completed contingency table, find the missing value for W. Attitude Job Classification Favour Neutral Oppose TOTAL Casual 22 W V 121 Part Time X 12 49 78 Full Time 57 38 T Y TOTAL Z U 250 408

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