Find a 95% confidence interval for the difference in the proportion of women who survived and the proportion of men who survived for the data in Exercise. (Assume the passengers on the Titanic were representative of others who might have taken the trip.)
In exercise Newspaper headlines at the time and traditional wisdom in the succeeding decades have held that women and children escaped the Titanic in greater proportion than men. Here€™s a table with the relevant data. Do you think that survival was independent of whether the person was male or female? Defend your conclusion.

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Total 710 Dead 127 1364 1491 Total470 173 2201 Female Male Alive 343 367