neyman pearson lemma
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The Neyman-Pearson lemma is based on a simple hypothesis test. A “simple” hypothesis test is one where the unknown parameters are specified as single values. For example:
H0: μ = 0 is simple because the population mean is specified as 0 for the null hypothesis.
H0: μ = 0; HA: μ = 1 is also simple because the population mean for the null hypothesis and alternate hypothesis are specified, single values. Basically, you’re assuming that the parameters for this test can only be 0, or 1 (which is theoretically possible if the test was binomial).
H0: μ = 0 is simple because the population mean is specified as 0 for the null hypothesis.
H0: μ = 0; HA: μ = 1 is also simple because the population mean for the null hypothesis and alternate hypothesis are specified, single values. Basically, you’re assuming that the parameters for this test can only be 0, or 1 (which is theoretically possible if the test was binomial).
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