Hypothesis Testing and Errors (AQA A-Level Further Maths): Flashcards
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Poisson parameter meaning
Poisson parameter meaning
Average number of events in a fixed interval
Best estimate of from sample data
Best estimate of from sample data
Sample mean
Null hypothesis () definition
Null hypothesis () definition
Claim being tested; parameter equals specific value
Test statistic in Poisson hypothesis testing
Test statistic in Poisson hypothesis testing
Total number of events in the sample
Type I error definition
Type I error definition
Rejecting a true null hypothesis (false positive)
Type II error definition
Type II error definition
Accepting a false null hypothesis (false negative)
p-value definition
p-value definition
Probability of result as extreme as observed, if true
Decision rule using p-value
Decision rule using p-value
Reject if p-value < significance level
When to use one-tailed test
When to use one-tailed test
When interested if parameter increased OR decreased specifically
Type I error probability for discrete distributions
Type I error probability for discrete distributions
May be less than significance level (not exactly equal)
