Intermediate June 2019 Unit 1 Q15
15. The Anglesey Show is a two-day event held every August.
(a) On the first day, a random sample of 2000 visitors at the show were asked:
Do you live on Anglesey?
640 of them answered 'Yes'.
What was the relative frequency of those who answered ‘Yes’?
Give your answer as a decimal. [1]
(b) On the second day a random sample of 3000 visitors at the show were asked the same question.
The relative frequency of those who answered ‘Yes’ on this day was 0·42.
The relative frequency of those who answered ‘Yes’ on this day was 0·42.
Calculate the relative frequency of those who said they lived on Anglesey when the samples for both days were combined.
Give your answer as a decimal. [4]
(c) Which of the following is most likely to give the best estimate for the relative frequency of visitors to the show living on Anglesey?
Circle your answer.
Circle your answer.
Your answer
to part (a)0·42Your answer
to part (b)
You must give an explanation for your choice. [1]
| Scheme | Marks | Comments |
|---|---|---|
| 0·32 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Sample number from Anglesey on 2nd day = 3000 × 0·42 | M1 | |
| = 1260 | A1 | Allow M1A1 for sight of 1260 e.g. 1260/3000 |
| (Rel.Fqu. for two days =) \(\dfrac{640 + 1260}{2000 + 3000}\) | M1 | FT ‘their 1260’. |
| = 0·38 | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| ‘Answer to part (b)’ noted AND Valid explanation e.g. ‘more people sampled’ | E1 | Explanation must refer to the sample being the largest. Allow e.g ‘from both days’, ‘number of people added’, ‘frequencies are added’. Do not accept ‘relative frequencies are added’. |