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Pearson Edexcel GCEIn Statistics (9ST0)
Pearson Edexcel Level 3 GCE
Paper 02: Statistical Inference
Wednesday 12 June 2024
Afternoon (Time: 2 hours) Paper
reference 9ST0/02
Statistics
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Advanced
PAPER 2: Statistical Inference
You must have: Total Marks
Statistical formulae and tables booklet
Calculator
Candidates may use any calculator allowed by Pearson regulations. Calculators
must not have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Unless
Answers without working may not gain full credit.
otherwise stated, inexact answers should be given to three
• Unless
significant figures.
otherwise stated, statistical tests should be carried out at the
5% significance level.
Information
•• AThere
booklet ‘Statistical formulae and tables’ is provided.
• – use this asfora guide
The
are 7 questions in this question paper. The total mark for this paper is 80.
marks eachasquestion are shown
to how much in spend
time to brackets
on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check
Try to answer every question.
your answers
If you change if youabout
your mind have an
time at thecross
answer, end. it out and put your new answer and
any working underneath.
Turn over
, Answer ALL questions. Write your answers in the spaces provided.
1 Brenda is a yoga teacher. She is researching the benefits of regular yoga practice on
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reducing eye fatigue.
To carry out her research, Brenda seeks 12 volunteer students, who have never practised
yoga before, to join her yoga classes.
She asks each student to complete a questionnaire before they start her classes.
In her questionnaire, the first question is as follows.
Indicate below your current level of eye fatigue by placing a cross on the line.
A score of 0 indicates no eye fatigue and a score of 10 indicates severe eye fatigue.
0 1 2 3 4 5 6 7 8 9 10
After attending her classes for three months, these 12 students are asked again to
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complete the same questionnaire.
Both scores for the first question, for each of these 12 students, are given in Figure 1
Brenda believes that regular yoga practice can reduce the average eye fatigue score.
(a) Making any necessary assumptions, carry out a paired t-test to investigate whether
there is evidence to support Brenda‟s belief.
(7)
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2
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, Question 1 continued
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(b) Give two possible sources of bias in this experiment.
(2)
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(Total for Question 1 is 9 marks)
3
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, 2 In October 2021, just ahead of the COP26 UN Climate conference in Glasgow,
75% of adults, aged 18 years or over, in Great Britain agreed with the statement
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“I am worried about the impact of climate change.”
[Source: Three-quarters of adults in Great Britain worry about climate change
Office for National Statistics (ons.gov.uk)]
Briony believed that, in Great Britain, a greater percentage of those aged under 18 were
worried about the impact of climate change.
She set up an online survey with two questions.
Question A
Are you under 18?
Those who responded with a “no” to Question A could not continue with the survey.
Those who responded with a “yes” to Question A were then asked Question B.
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Question B
Consider the statement
“I am worried about the impact of climate change.”
Do you agree or disagree with this statement?
Of the 312 responses for Question B, 63 disagreed with the statement.
Using the results of Briony‟s survey carry out a hypothesis test, using a distributional
approximation, to investigate whether the percentage of those aged under 18 who agree
with the statement is greater than the percentage of adults in Great Britain who agree
with the statement.
You may assume that responses were independent of one another.
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