Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions
-A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a financial problem. A second sample of 100 different students was asked the same question regarding a dating problem. Forty-three students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help. Construct a $98 \%$ confidence interval for $\mathrm { p } 1 - \mathrm { p } 2$.
A) $( - 0.204,0.124 )$
B) $( - 1.324,1.521 )$
C) $( - 0.591,0.762 )$
D) $( - 1.113,1.311 )$

Question

Quizplus · Accepted Answer

The confidence interval for the difference between two population proportions is calculated using the formula for the standard error of the difference between two proportions and the Z-score corresponding to the confidence level. Here, with a 98% confidence level and given proportions from the samples, the correct interval is (-0.204, 0.124), indicating the range within which the true difference in proportions likely falls.

Construct and Interpret Confidence Intervals for the Difference Between Two 98%98 \%98%

Construct and Interpret Confidence Intervals for the Difference Between Two $98 \%$