Summary
Summary Hypothesis testing cheat sheet
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A step by step guide and format to earn full marks in any hypothesis test question in an A-level OCR stats exam
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Steps for a binomial Steps for a Normal Steps for a Corelation chypothesis test: hypothesis test: hypothesis test:
1) State the parameters and known distribution 1) State the parameters and normal distribution 1) State the parameters and corelati
X is the number of …. X is the number of …. ‘ρ’ is the linear corelation coefficien
p is the proportion of… μ is the mean number of… 2) State the null and alternate hypoth
X ~ B (n , p) X ~ N (μ ,σ²) h₀: ρ = 0
2) State the null and alternate hypothesis 2) State the null and alternate hypothesis h₁: ρ (<, >, ≠ ) 0
h₀: p = … h₀: μ = … 3) Note its tails, significance level and
h₁: p (<,>,≠) … h₁: μ (<, >, ≠ ) … (1 or 2) tailed
3) State the distribution under H₀ 3) State the sample mean distribution under H₀ (… %) significance level
X ~ B (n , p) x̅ ~ N (μ , (σ/√n)²) n=…
4) Note its tails and significance level 4) Note its tails and significance level 4) Obtain critical value from table give
(1 or 2) tailed (1 or 2) tailed critical value = …
(… %) significance level (… %) significance level 5) Compare modulus of critical value
5) Find the probability of getting the observed 5) Find the probability of getting the observed |critical value| (<,>) r
value on calculator value on calculator 6) Conclude if h₀ is rejectable or not /
P (X (>,<) …) = … P (x̅ (>,<) …) = … therefore there is (sufficient , insuffi
6) Compare probability to significance level 6) Compare probability to significance level reject h₀
… (<,>) … … (<,>) … therefore there is (sufficient , insuffi
7) Conclude if h₀ is rejectable or not / in 7) Conclude if h₀ is rejectable or not / in suggest there is (a, a positive, a negativ
context context corelation between …
therefore there is (sufficient , insufficient) therefore there is (sufficient , insufficient)
evidence to reject h₀ evidence to reject h₀
therefore there is (sufficient , insufficient) therefore there is (sufficient , insufficient)
evidence to suggest … evidence to suggest …
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