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Date May Specimen paper Marks available 2 Reference code SPM.1.SL.TZ0.6
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term State Question number 6 Adapted from N/A

Question

As part of a study into healthy lifestyles, Jing visited Surrey Hills University. Jing recorded a person’s position in the university and how frequently they ate a salad. Results are shown in the table.

Jing conducted a χ 2 test for independence at a 5 % level of significance.

State the null hypothesis.

[1]
a.

Calculate the p -value for this test.

[2]
b.

State, giving a reason, whether the null hypothesis should be accepted.

[2]
c.

Markscheme

number of salad meals per week is independent of a person’s position in the university  A1

Note: Accept “not associated” instead of independent.

[1 mark]

a.

0.0201 (0.0201118…)  A2

[2 marks]

b.

0.0201 < 0.05        R1

the null hypothesis is rejected        A1

Note: Award (R1) for a correct comparison of their p -value to the test level, award (A1) for the correct interpretation from that comparison.

Do not award (R0)(A1).

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 4—Statistics and probability » SL 4.11—Expected, observed, hypotheses, chi squared, gof, t-test
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Topic 4—Statistics and probability

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