A First Course in Statistical Inference by Jonathan Gillard

Author:Jonathan Gillard
Language: eng
Format: epub
ISBN: 9783030395612
Publisher: Springer International Publishing

For a significance level, the acceptance region is given by

The test statistic does not lie within the acceptance region and so we reject the null hypothesis.

2.The hypotheses are , where is the population mean. Under the assumption that the null hypothesis is true, we use the test statistic

For a significance level, the acceptance region is

and our value of the test statistic does not lie in this region (so it lies in the critical region). We hence reject the null hypothesis. From statistical tables, and the p-value is thus given by

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