Higher November 2017 Paper 4 Q9
9 Here are the results of a survey of 437 people in a town.
- 62 males speak Spanish.
- 153 females do not speak Spanish.
- 280 people do not speak Spanish.
Jeff says
At least 2 out of every 5 females in the town can speak Spanish.
Is he correct?
Show clearly how you reached your decision. [6]
| Answer | Marks | Part marks and guidance | |||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Finding the number in each category e.g. Venn diagram and n = 437 – their127 – 62 – 153 or 95 or two-way table
and a common representation to compare e.g. percentages \(\dfrac{95}{248}\)×100 = 38.3..% and 38[.3…] or 0.38[3…] [so No] | 6 | B3 for 95 or B2 for 157 or B1 for 127 and M2 for \(\dfrac{\textit{their } 95}{\textit{their } 95 + 153}\) [×100] or [0].4×248 soi by 99.2 or M1 for \(\dfrac{\textit{their } 95}{n}\) (\(n\) > their95) or B1 for 248 A1 for 38[.3…] or 0.38[3…] to a maximum of 5 marks OR B3 for a complete and correct Venn diagram or table or B2 for a correct Venn diagram or table with n not calculated and M1 for a correct method to calculate n or B1 for Venn diagram or table with two correct values in the correct places and M1 for choosing a common representation to compare the statement with the comment e.g. decimals or percentages and A1 for one of the two numbers correct e.g. with percentages 38.3…. or 40 | Note : \(\dfrac{95}{248}\) scores 5 marks accept any correct method e.g.  | ||||||||||||||||