AMS 5 Lecture Notes - Lecture 25: Scientific Control, Null Hypothesis, Alternative Hypothesis
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If 200 tickts are drawn at random with replacement from box. The average scores in the two samples were 300 in. We can assume that the two samples are independent: the first sample had no effect on how the second sample was selected: for simplicity"s sake, i will pretend that these were simple random samples of. ), we find that: se(1978) = 1. 0, se(2004) = . 8, how would you make a non-random sample, deliberately pick sons/daughters of year of 1978 students. Any observed difference in sample averages is due to chance: alternative hypothesis: the difference is not due to chance. The naep test is detecting an actual difference between the students in 2004 and their 1978 counterparts: the null hypothesis gives us the expected value of the difference. The diff between the 1978 and 2004 performances o 17-year-olds on the naep mathematics exams is almost certainly not explained by chance. The difference in the scores is highly significant: comments: