Biostats Chapter Seven
Terms
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- hypothesis
- claim or statement about a property of a population
- hypothesis test
- test of significance-standard procedure for testing a claim about a property of a population
- test statistic
- value computed from the sample data and is used in making the decision about the rejection of the null hypothesis
- critical region
- set of all values of the test statistic that cause us to reject the null hypothesis
- significance level
- alpha-probability that the test statistic will fall in the critical region when the null hypothesis is actually true
- critical value
- value that seperates the critical region from the calues of the test statistic that do not lead to rejection of the null hypothesis
- P-value
- probability of getting a value of the test statistic that is at least as extreme as the one representing sample data, assuming that the null hypothesis is true
- type I error
- the mistake of rejecting the null hypothesis when it is actually true, alpha
- type II error
- the mistake of failing to reject the null hypothesis when it is actually false-beta
- power
- probability (1-B) of rejecting a false null hypothesis, which is cumputed by using a paticular significance level alpha, a paticular sample size n, a particular assumed value of the population parameter and a particular value of the population parameter that is an alternative to the value assumed in the null hypothesis
- testing the claims about a population mean (with sigma not known)
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1. the sample is a simple random sample
2. the value of the population standard deviation is not known
3. either of both of these conditions is satisfied: the population is normally distributed or n is greater than 30