MATH 321 Lecture Notes - Lecture 54: Null Hypothesis, Statistic, Test Statistic

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Statistical significance and practical significance (1 of 7) When a large sample size is used in a hypothesis test, the results could be statistically significant even though the difference between the sample statistic and mean stated in the null hypothesis may have no practical significance. Statistical significance and practical significance (2 of 7) Practical significance refers to the idea that, while small differences between the statistic and parameter stated in the null hypothesis are statistically significant, the difference may not be large enough to cause concern or be considered important. Statistical significance and practical significance (3 of 7) In 2003, the average age of a mother at the time of her first childbirth was 25. 2. Statistical significance and practical significance (4 of 7) Step 1: to determine whether the mean age has increased, this is a right-tailed test with. Step 2: the level of significance is = 0. 05. Step 3: recall that the sample mean is 25. 5.