Question

a group of 100 students were asked if they study french or spanish in school. the results are shown in this two-way table.

	french	not french	total
not spanish	30	2	32
total	35	65	100

which statements are correct? check all that apply.

• 5 students study both french and spanish.
• 63 students study french.
• 2 students study neither french nor spanish.
• 30 students study french, but not spanish.
• 63 students study spanish.

Explanation:

• "5 students study both French and Spanish": The cell where "Spanish" and "French" intersect is 5, so this is correct.
• "63 students study French": The total for French is 35 (5 + 30), so this is incorrect.
• "2 students study neither French nor Spanish": The cell where "Not Spanish" and "Not French" intersect is 2, so this is correct.
• "30 students study French, but not Spanish": The cell where "Not Spanish" and "French" intersect is 30, so this is correct.
• "63 students study Spanish": The total for Spanish is 68 (5 + 63), so this is incorrect.

Answer:

• 5 students study both French and Spanish.
• 2 students study neither French nor Spanish.
• 30 students study French, but not Spanish.