In a random sample of 300 women, 45% favored stricter DUI legislation. In a random sample of 200 men, 25% favored stricter DUI legislation. Construct a 95% confidence interval for the difference between the population proportions $p _ { 1 } - p _ { 2 }$ . Assume that the samples are independent and that they have been randomly selected.

Question

In a random sample of 300 women,  45%  favored stricter DUI legislation. In a random sample of 200 men,  25%  favored stricter DUI legislation. Construct a  95%  confidence interval for the difference between the population proportions $p _ { 1 } - p _ { 2 }$ . Assume that the samples are independent and that they have been randomly selected.

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The Answer of In a random sample of 300 women,  45%  favored stricter DUI legislation. In a random sample of 200 men,  25%  favored stricter DUI legislation. Construct a  95%  confidence interval for the difference between the population proportions $p _ { 1 } - p _ { 2 }$ . Assume that the samples are independent and that they have been randomly selected.

In a Random Sample of 300 Women, 45 p1−p2p _ { 1 } - p _ { 2 }p1​−p2​

In a Random Sample of 300 Women, 45 $p _ { 1 } - p _ { 2 }$