Board of Directors of Labour Union wishes to sample the opinion of its members before submitting a change in its contribution at a forthcoming annual meeting. Questionnaires are sent to a random sample of 200 members in three union locals. The results of the survey are as follows:

Determine the amount of association between the Union locals and their reactions using coefficient of contingency and interpret the result.

To determine the association between Union locals and reactions, we can use the coefficient of contingency, which is a measure of association for categorical variables. The coefficient of contingency (C) is calculated using the formula:

\[ C = \sqrt{\frac{\chi^2}{N}} \]

Where:
- \( \chi^2 \) is the chi-squared statistic for the contingency table.
- \( N \) is the total number of observations.

First, we need to calculate the chi-squared statistic (\( \chi^2 \)) using the formula:

\[ \chi^2 = \sum \frac{(O_{ij} - E_{ij})^2}{E_{ij}} \]

Where:
- \( O_{ij} \) is the observed frequency in cell \( (i,j) \).
- \( E_{ij} \) is the expected frequency in ___ ___ ____ ________ ___ _____ ____ ______ _________ _______ ________ _________.
_______ ________ _______ ____ ______ ______ ______.
____ ________ _______ ______ ____ ______ ________ ___ __________ _______.
_____ ________ ________ ____ ____ _______ __________ __________.
______ ___ _______ ___ _______ ___ _________ _________ _______ _________ ____.
_______ __________ _________ __________ ______ ______ _______ ____.
__________ ________ ____ _____ __________ _____.
________ ______ ____ ___ _________ _________ ___ _____.
__________ ______ ___ _________ ________ _________ __________ ________.
__________ ______ ______ ________ ________ ________ _____ __________ ______ ___.
________ _______ ______ _______ __________ _____ ____ _________.
_______ ___ __________ __________ _________ ____ ________ __________.
____ _________ _____ __________ ________ ________ ___.
_______ ____ _______ ___ _____ _________ ____ __________ _________.
_________ ____ __________ _________ _____.
___ ___ ______ ____ ________ ____ ________ _____ _________ ______ ___ __________.
____ __________ _______ ___ _________ _______.
_______ _____ ____ ____ __________ _______ _______ _________ ____ _________ _________ ______.
______ _________ ______ _____ _____ _____ ________.
____ ____ _________ ____ _______ ______ _________ ____ _______ __________ ____ ___.
_____ ____ ____ ____ __________ ____ ___ ____ _________ ________ _____ __________.
_______ ___ _____ ________ _________ ___.
_________ _____ ____ _______ ________ ___ __________ ___ ____ _________ _____ ______.
_______ ______ ______ __________ ______ _______ ________ _________ _____.
____ ______ ______ _______ __________ ___ _______ _________ __________ _____.
_________ __________ _____ _____ _____ _______ __________ ________ _____ _______ _______.
_________ ____ ___ ________ __________ ____ _______ ___ _________.
___ _______ _________ ________ __________ ______ __________.
____ ___ ______ _____ _________ _________ _____ ________ _____ __________ ______.
_______ ________ _____ ______ ______ _________ __________ ________ _______ ___ ___ ________.
_______ ___ _____ ________ ____ _____ _______.
_________ ____ __________ ____ ____ _________ ____ ________ _________.
_____ _________ ___ _________ ____ _______ __________ _____.
_________ _________ ____ ______ __________ ____ ________ _______ ________ ______ ___ ______.
________ ___ ____ ________ _______ __________ __________ _____ _______ __________ ________.
___ _________ _______ _______ ___ ___ _______ ________ _________ ___.
___ ___ _________ ________ ___ ____ ________.
Get Full Answer on WhatsApp