Researchers surveyed a simple random sample of $120$ college students in Brazil. $60$ students were given a single $100$-real note, while the other $60$ received the same amount in smaller denominations (five $20$-real notes). Among the single-note group, $48$ students spent some or all of the money. In the small-denomination group, $55$ students spent some or all of the money. Using a hypothesis test at the $0.05$ significance level, test the claim that fewer students spend the money when given a single large note.

• A. There is sufficient evidence to support the claim that a smaller proportion of students spend the money when given a single large ($100$-real) note compared to when given five $20$-real notes.
• B. There is insufficient evidence to support the claim that a smaller proportion of students spend the money when given a single large ($100$-real) note compared to when given five $20$-real notes.
• C. There is sufficient evidence to support the claim that a larger proportion of students spend the money when given a single large ($100$-real) note compared to when given five $20$-real notes.
• D. There is insufficient evidence to support the claim that a larger proportion of students spend the money when given a single large ($100$-real) note compared to when given five $20$-real notes.

Answer: (A)