Inheritance · ecology · comparing treatments

Statistical tests and conclusions

Choose chi-squared, Spearman’s rank or a t-test for suitable data. Interpret supplied critical values, null hypotheses and statistical significance.

Method and worked examples ↓

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Learn the method

How to approach these questions

  1. Chi-squared can compare observed category counts with counts expected under a hypothesis.
  2. Spearman’s rank tests for a monotonic association between two paired variables.
  3. An unpaired t-test compares the means of two independent samples when its assumptions are met.
  4. If the test meets the stated rejection rule, reject the null hypothesis. Otherwise, do not reject it. A non-significant result does not prove the null hypothesis.

Worked examples

A chi-squared statistic is 6.2 and the supplied 5% critical value is 5.99. The rejection rule is statistic ≥ critical value. What follows?

6.2 ≥ 5.99, so reject the null hypothesis at the 5% level. There is evidence that the observed category frequencies differ from the expected frequencies.

Spearman’s rₛ = −0.72. The supplied critical magnitude is 0.65. What follows?

|−0.72| = 0.72, which exceeds 0.65. There is a statistically significant negative association. This does not establish that one variable causes the other.

Keep practising

Topic map and study list · Practical data guides · Active recall decks

Course resources

AQA A-level Biology · OCR A A-level Biology · Textbook answers

Skill coverage follows the common A-level science subject content. Check your board’s current requirements: AQA 7402 and OCR A H420.