Chapter 7, Problem 74SE

Artificial Intelligence A Harris poll asked a sample of U.S. adults if they agreed with the statement “Artificial intelligence will widen the gap between the rich and poor in the U.S.” Of those aged 18 to 35, $69\%$ agreed with the statement. Of those aged 36 to 50, $60\%$ agreed with the statement. A $95\%$ confidence interval for $p_1-p_2$ (where $p_1$ is the proportion of those aged 18-35 who agreed and $p_2$ is the proportion of those aged 36-50 who agreed) is $\left(0.034,0.146\right)$. Does the interval contain 0? What does this tell us about the proportion of adults in these age groups who agree with the statement?