Hypothesis Testing (Binomial Distribution) (Edexcel A-Level Mathematics): Flashcards

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Binomial Hypothesis Testing
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What is a null hypothesis (H0H_0)?

H0H_0 is the initial assumption we believe to be true.

What does the alternative hypothesis (H1H_1) represent?

H1H_1 represents the claim that differs from H0H_0.

What is the significance level?

It's the threshold for rejecting the null hypothesis.

What is meant by a one-tail test?

Only one end of the distribution is tested.

What is the rejection region?

It’s where we reject the null hypothesis.

How do we calculate a binomial probability?

Use the binomial formula for P(X=k)P(X = k).

What does 'Reject H0H_0' indicate?

There's sufficient evidence against the null hypothesis.

What determines the critical value in hypothesis testing?

The significance level and sample size affect the critical value.

What is a two-tailed test?

Both ends of the distribution are tested for differences.

What happens if P(X)>P(X) > significance level?

Do not reject the null hypothesis.

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