Is drinking tea good for your health? Researchers in China studied a sample of 100,902 adults and classified them as habitual tea drinkers (33 or more cups per week) and never/non‑habitual tea drinkers (less than 33 cups per week). These subjects were followed for several years, and the number of subjects who had strokes was recorded. Of the 69,017 subjects who were never/non‑habitual tea drinkers, 2949 had strokes. Of the 31,885 habitual tea drinkers, 854 had strokes. Give a 95% confidence interval for the difference between the proportions of habitual tea drinkers and never/non‑habitual tea drinkers who had strokes. Give your answer as an interval in the form (lower bound, upper bound). Give your bounds to four decimal places. 95% confidence interval:

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Is drinking tea good for your health? Researchers in China studied a sample of 100,902 adults and classified them as habitual tea drinkers (33 or more cups per week) and never/non‑habitual tea drinkers (less than 33 cups per week). These subjects were followed for several years, and the number of subjects who had strokes was recorded. Of the 69,017 subjects who were never/non‑habitual tea drinkers, 2949 had strokes. Of the 31,885 habitual tea drinkers, 854 had strokes.

Give a 95% confidence interval for the difference between the proportions of habitual tea drinkers and never/non‑habitual tea drinkers who had strokes. Give your answer as an interval in the form (lower bound, upper bound). Give your bounds to four decimal places.

95% confidence interval:
 
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