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Tables 2 and 3 below contain the results of a Chi Square test for independence comparing the proportion of male and female staff (gender indicator)

Tables 2 and 3 below contain the results of a Chi Square test for independence comparing the proportion of male and female staff (gender indicator) and trade union membership (union membership). Use this information to address the questions below.

Is the relationship between the two categorical variables, gender and union membership significant at the 5% level? Fully explain your answer with reference to Tables 2 and 3.

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Gender Indicator * Union membership Crosstabulation Union membership No Yes Total Gender Indicator male Count 369 88 457 % within Gender 80.7% 19.3% 100.0% Indicator % of Total 41.0% 9.8% 50.8% female Count 382 60 442 % within Gender 86.4% 13.6% 100.0% Indicator % of Total 42.5% 6.7% 49.2% Total Count 751 148 899 % within Gender 83.5% 16.5% 100.0% Indicator % of Total 83.5% 16.5% 100.0%Chi-Square Tests Asymptotic Significance Exact Sig. Exact Sig. Value df (2-sided) (2-sided) (1-sided) Pearson Chi-Square 5.274a .022 Continuity Correction 4.868 1 .027 Likelihood Ratio 5.304 .021 Fisher's Exact Test .024 .014 Linear-by-Linear 5.268 .022 Association N of Valid Cases 899 a. 0 cells (.0%) have expected count less than 5. The minimum expected count is 72.77. b. Computed only for a 2x2 table

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