A person released from prison before completing the original sentence is placed under the supervision of a parole board. If that person violates specified conditions of good behavior during the parole period, the board can order a return to prison. The article "Impulsive and Premeditated Homicide: An Analysis of the Subsequent Parole Risk of the Murderer" reported the data on parole behavior below. One random sample of individuals had served time in prison for impulsive murder, and the other random sample had served time for premeditated murder.

Construct and interpret a 98% confidence interval for the difference in the proportions of individuals serving time for impulsive murder and individuals serving time for premeditated murder who successfully completed parole. Assume that conditions are met.

Impulsive Premeditated

Sample size n 42 40

Number with no violation 13 22

Sample proportion 0.310 0.550

"We are 98% confident that the interval from ______ to _______ captures the true difference between the proportions of individuals serving time for impulsive murder and individuals serving time for premeditate murder who successfully completed parole."

. Single choice.

(-0.2950, 0.0712)

(0.3280, 0.0430)

(-0.3280, 0.0430)

(0.4870, 0.0070)

(-0.4870, 0.0070)