A Survey of Randomly Selected College Students Found That 45 $98 \%$

Multiple Choice

A survey of randomly selected college students found that 45 of the 99 freshmen and 57 of the 100 sophomores surveyed had purchased used textbooks in the past year. Construct a $98 \%$ confidence interval for the difference in the proportions of college freshmen and sophomores who purchased used textbooks.

A) $( 0.317,0.593 )$
B) $( 0.291,0.593 )$
C) $( - 0.279,0.049 )$
D) $( 0.291,0.619 )$
E) $( - 0.253,0.593 )$