Find how much women prefer a job outside of the home, Mathematics

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According to a Gallup poll 51% of US women prefer to have a job outside of the home.

What is the chance that a survey of 200 women would find that 45% or less of the respondants would prefer a job outside of the home?                                               

Your mother sees a survey of 10 women with 4 stating they would prefer a job outside of the home?  (In particular, is this an indication that women really prefer to stay at home?)

What would you recommend to give your mother a better sense of the women's feelings about jobs?


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