Hypothesis Testing (Leaving Cert Mathematics): Flashcards

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Hypothesis Testing
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What is hypothesis testing?

A statistical method to test population claims using sample evidence

What is a hypothesis?

A statement about a population that can be tested statistically

What is H₀?

The null hypothesis - the initial assumption being tested

What does H₀ represent?

No change, no difference, or no effect

What is H₁?

The alternative hypothesis - contradicts H₀

Sample proportion formula

p^=countsample size\hat{p} = \frac{\text{count}}{\text{sample size}}

Margin of error formula

1n\frac{1}{\sqrt{n}} where nn is sample size

Confidence interval formula

p^−1n<p<p^+1n\hat{p} - \frac{1}{\sqrt{n}} < p < \hat{p} + \frac{1}{\sqrt{n}}

Step 1 of hypothesis testing

Write down H₀ and H₁

Step 2 of hypothesis testing

Calculate sample proportion p^\hat{p}

Step 3 of hypothesis testing

Find margin of error 1n\frac{1}{\sqrt{n}}

Step 4 of hypothesis testing

Calculate confidence interval

When to accept H₀?

When claimed value falls within confidence interval

When to reject H₀?

When claimed value falls outside confidence interval

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