Suppose the Proportion of Sophomores at a Particular College Who $\mathrm { p } _ { \mathrm { s } } - \mathrm { p } _ { \mathrm { f } } \text { to be } ( 0.236,0.426 )$

Essay

Suppose the proportion of sophomores at a particular college who purchased used textbooks in the past year is ps and the proportion of freshmen at the college who purchased used textbooks in the past year is pf. A study found a 95% confidence interval for $\mathrm { p } _ { \mathrm { s } } - \mathrm { p } _ { \mathrm { f } } \text { to be } ( 0.236,0.426 )$ Does this interval suggest that a larger proportion of sophomores than of freshmen buy used textbooks? Explain.