ECON10005 Chapter Notes - Chapter 3: Decision Rule, Sampling Distribution, Bias Of An Estimator

• School: University of Melbourne
• Department: Economics
• Course: ECON10005
• Professor: All

Document Summary

Nominate the t-statistic equal to some value of interest (depend on the wording) Let denote the (cid:507)unknown(cid:508) mean of the population of interest. We specify a null hypothesis ((cid:1867)) that the population mean is eg. (cid:1867) : = (cid:343)(cid:342)(cid:342) (always an equal sign) Then specify one of three possible alternative hypotheses (): : > 100 (above, : < 100 (below, : 100 (differ) Note: the specification of cannot depend on the data. Lower tail s (from the sample: n (from the sample, (cid:507)from the null hypothesis, (from the sample) ((cid:1871)/ (cid:1866) is called the (cid:256)standard error(cid:257) (s. e. ) of x) (cid:1868) = ((cid:1872)(cid:1866) 1 > (cid:1872)) Reject (cid:2777) if p < reject (cid:2777) if t > (cid:2202), (cid:2778) (where (cid:1872)(cid:2009),(cid:1866) 1 is ((cid:1872)(cid:1866) 1 > (cid:1872)(cid:2009),(cid:1866) 1) = (cid:2009) (cid:1868) = ((cid:1872)(cid:1866) 1 < (cid:1872)) Reject (cid:2777) if p < reject (cid:2777) if t < (cid:2202), (cid:2778) the critical value satisfying. Two tails (where p is the two-sided pvalue)