class08-2-handouts

class08-2-handouts - PSTAT 120B - Probability &...

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Unformatted text preview: PSTAT 120B - Probability & Statistics Class # 08-2- Sample size and CIs Jarad Niemi University of California, Santa Barbara 19 May 2010 Jarad Niemi (UCSB) Sample size and CIs 19 May 2010 1 / 14 Class overview Announcements Announcements Homework Homework 6 due Monday, 24 May @ 4pm in SH 5521 Mid-term II #6 was incorrect in the answer key, so if you have answer c and have it marked incorrect, see me. Jarad Niemi (UCSB) Sample size and CIs 19 May 2010 2 / 14 Class overview Goals Calculating Type II error probabilities Sample size of z tests Relationship to confidence intervals Jarad Niemi (UCSB) Sample size and CIs 19 May 2010 3 / 14 Sample size Review Large-sample -level hypothesis tests H : = H a : > (upper-tail alternative) < (lower-tail alternative) 6 = (two-tailed alternative) Test statistic : Z = - Rejection region : z > z (upper-tail RR) z <- z (lower-tail RR) | z | > z / 2 (two-tailed RR) Jarad Niemi (UCSB) Sample size and CIs 19 May 2010 4 / 14 Sample size Review Any kind of decision you make under uncertainty can have 4 possible outcomes. H True False Test result Reject H Type I error True positive Do not reject H True negative Type II error = P(type I error) = P(type II error) 1- = power of the test Jarad Niemi (UCSB) Sample size and CIs 19 May 2010 5 / 14 Sample size Example Exercise 10.34) A random sample of 500 measurements on the length of stay in hospitals had sample mean 5.4 days and sample standard deviationstay in hospitals had sample mean 5....
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class08-2-handouts - PSTAT 120B - Probability &...

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