A researcher wants to determine whether there is a relationship between age and frequency of travel. In a random sample of 18- to 25-year-olds, 70 of 195 traveled more than twice each year. In a random sample of 55- to 62-year-olds, 205 of 230 traveled more than twice each year. What is the margin of error for a 98% confidence interval for the difference between the proportions of travelers in these age groups who travel more than twice each year?

1.3180
0.5656
0.0931
0.0400
0.0016