SPM.1.SL.TZ0.6

pestleMathematicsAISLPaper 1SPM· sl-4-11-expected-observed-hypotheses-chi-squared-gof-t-testsource ↗

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 $\chi$ ² test for independence at a 5 % level of significance.

State the null hypothesis.

[1]

Calculate the $p$ -value for this test.

[2]

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

[2]

Markscheme / solution

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]

0.0201 (0.0201118…) A2

[2 marks]

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]

Examiners’ report

[N/A]