A Random Sample of 100 Students at a High School $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$

Multiple Choice

A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a homework assignment in science. A second random sample of 100 different students was asked the
Same question for an assignment in history. 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)