Learning objective
O1 Understand and apply the language of statistical hypothesis testing, developed through a binomial model, including null hypothesis, alternative hypothesis, significance level, test statistic, one-tail test, two-tail test, critical value, critical region, acceptance region and p-value; extend to correlation coefficients as measures of how close data points lie to a straight line and interpret a given correlation coefficient using a given p-value or critical value, excluding calculation of correlation coefficients.
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Topic
Statistics
Subtopic
Hypothesis testing language
Aqa A Level MathematicsPaper 3
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Quick explanation
O1 Understand and apply the language of statistical hypothesis testing, developed through a binomial model, including null hypothesis, alternative hypothesis, significance level, test statistic, one-tail test, two-tail test, critical value, critical region, acceptance region and p-value; extend to correlation coefficients as measures of how close data points lie to a straight line and interpret a given correlation coefficient using a given p-value or critical value, excluding calculation of correlation coefficients
- This point belongs to Statistics, especially Hypothesis testing language.
- You need to be able to o1 Understand and apply the language of statistical hypothesis testing, developed through a binomial model, including null hypothesis, alternative hypothesis, significance level, test statistic, one-tail test, two-tail test, critical value, critical region, acceptance region and p-value; extend to correlation coefficients as measures of how close data points lie to a straight line and interpret a given correlation coefficient using a given p-value or critical value, excluding calculation of correlation coefficients.
- The key ideas to know are critical region, alternative hypothesis, and significance.
- Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.
Key concepts
critical regionalternative hypothesissignificancep-valuenull hypothesis
Why it matters
This objective helps connect Hypothesis testing language to exam-style questions, flashcards, and revision notes for Statistics.
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Open revision notesRelated learning objectives
- K1 Understand and use the terms population and sample; use samples to make informal inferences about the population; understand and use sampling techniques including simple random sampling and opportunity sampling; select or critique sampling techniques in context, including understanding that different samples can lead to different conclusions about the population.
Statistical sampling
- L1 Interpret diagrams for single-variable data, including understanding that area in a histogram represents frequency; connect to probability distributions.
Single-variable data diagrams
- L2 Interpret scatter diagrams and regression lines for bivariate data, including recognition of scatter diagrams with distinct sections of the population; understand informal interpretation of correlation; understand that correlation does not imply causation; calculations involving regression lines are excluded.
Scatter diagrams and regression lines
- L3 Interpret measures of central tendency and variation, extending to standard deviation; calculate standard deviation, including from summary statistics.
Central tendency and variation
- L4 Recognise and interpret possible outliers in data sets and statistical diagrams; select or critique data presentation techniques in context; clean data including dealing with missing data, errors and outliers.
Outliers and data presentation
