A random sample of n1n1 = 272 people who live in a city were selected and 74 identified as a "dog person." A random sample of n2n2 = 119 people who live in a rural area were selected and 50 identified as a "dog person." Find the 98% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places.

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A random sample of n1n1  = 272 people who live in a city were selected and 74 identified as a "dog person." A random sample of n2n2  = 119 people who live in a rural area were selected and 50 identified as a "dog person." Find the 98% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person."

Round answers to to 4 decimal places.

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