APMA 3120 Chapter Notes - Chapter 11: Null Hypothesis, Test Statistic, Statistical Inference
18 Feb 2016
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Chapter 11: testing hypotheses about proportions: h0 states that p equals a traditional value that would indicate no diference/change/status quote : p = 0, h1 proposes that the proportion difers from the traditional value p0: p 0 c. In statistical inference, draw conclusions about unknown parameters. Otherwise, don"t have suicient evidence to reject h0 and the test statistic is: standard deviation of ( ^p ) is p0(1 p 0) n. P0(1 p 0) n where ^p= x n e. f. In order to verify that the underlying distribution is approximately binomial, check that the population is at least 10 times the sample size. In order to justify use of a normal approximation to binomial p p0 proportion, check that np0 10 and n(1 p0) 10: more diicult to reject h0 for a two-sided alternative than for a one-sided alternative. In general, the two-sided p-value is twice the one-sided p-value. The one-sided p- value is half the two-sided p-value.
