WebThe dividing point between rejecting and failing to reject the null hypothesis. When testing a mean, where the population standard deviation is known, we calculate the test statistic … WebA formal test of the null hypothesis H0 : g = g0versus the alternative H1 : g = g1(g1 > g0) can be undertaken using a resampling method, as described in McLachlan.26With this …
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WebLet's return finally to the question of whether we reject or fail to reject the null hypothesis. If our statistical analysis shows that the significance level is below the cut-off value we have set (e.g., either 0.05 or 0.01), we reject the null hypothesis and accept the alternative hypothesis. Alternatively, if the significance level is above ... WebThe null hypothesis, H0, states that cancer is absent; that is, our new sample mean is not different from the healthy mean. TYPE I (α) ERROR The null hypothesis may be rejected when it should have been accepted; we conclude that our patients are not healthy when they are. Such an error is denoted a Type I error. WebSo H0 is that μ = 24 ounces. A sheet metal manufacturer is making 10-gauge sheet metal, which is supposed to be 3.416 mm thick. One of the pieces of manufacturing equipment was suspected of malfunctioning, so the manufacturer tested a random sample of 100 pieces of steel to make sure the average steel thickness is 3.416 mm. let kostarika