Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions
-Construct a $95 \%$ confidence interval for $\mathrm { p } _ { 1 }$ - p2 for a survey that finds $30 \%$ of 240 males and $41 \%$ of 200 females are opposed to the death penalty.
A) $( - 0.200 , - 0.021 )$
B) $( - 1.532,1.342 )$
C) $( - 0.561,0.651 )$
D) $( - 1.324,1.512 )$

Question

Quizplus · Accepted Answer

The correct confidence interval is calculated using the formula for the difference between two proportions, which involves the sample proportions, the sample sizes, and the z-value for the desired confidence level (here, 95%, which corresponds to a z-value of approximately 1.96). The calculation yields a confidence interval of $(-0.200, -0.021)$, indicating that the true difference in proportions (males opposed to the death penalty minus females opposed) is likely within this range with 95% confidence.

Construct and Interpret Confidence Intervals for the Difference Between Two 95%95 \%95%

Construct and Interpret Confidence Intervals for the Difference Between Two $95 \%$