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In: Statistics and Probability

How do women fare in comparison with men in reaching managerial positions in department store retailing?...

How do women fare in comparison with men in reaching managerial positions in department store retailing? A sampling of 321 retail department store chains may help to answer this question. The accompanying table gives the numbers of managers at the upper, middle, and lower levels of management for 10,141 males and 7,913 females. Do the data provide sufficient evidence to indicate differences between males and females in the proportions of each sex in the three levels of management? Test using a = 0.05.

Management Level Male Female
Upper 3,361 592
Middle 3,448 1,294
Lower 3,332 6,027

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