Hypothesis Testing and Errors (AQA A-Level Further Maths): Quizzes

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Hypothesis Testing and Errors
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What does hypothesis testing help us determine?

If a population claim is reasonable

In a Poisson distribution, what does the parameter λ\lambda represent?

Avg events in a fixed interval

What is the best estimate of λ\lambda from a random sample?

The sample mean

What is the test statistic for Poisson hypothesis testing?

Total events in the sample

If λ0=3.5\lambda_0 = 3.5 and sample size n=8n = 8, what is the expected total events under H0H_0?

28

When should you use a one-tailed test?

When interested if parameter increased/decreased

What is a Type I error?

Rejecting a true null hypothesis

What is a Type II error?

Accepting a false null hypothesis

When should you reject H0H_0 using the p-value method?

If p-value < significance level

For discrete distributions like Poisson, what's true about Type I error probability?

May be less than significance level

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