HLSC 2P07 Lecture Notes - Lecture 7: Confidence Interval, Statistical Hypothesis Testing, Type I And Type Ii Errors
8 Nov 2016
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Type i error vs. type ii error. Theoretically, 25% of peas would have green pods in the 3rd generation. The sample proportion of green pods: 152/580=26. 2% The difference between theoretical and observed values: We can use this to construct a confidence interval. In the third generation, 25% have green pods. *a) most likely: most unlikely, cannot be determined. In theory, 25% green pods are expected, but 26. 2% green pods are recorded from 580 offspring pea pods. Rare event rule: if under a given assumption the probability of a particular observed event is exceptionally small, we conclude that the assumption is probably not correct. Usually, we consider that if the probability <=0. 05% then we consider this exceptionally small. P = 0. 25 np = 580 x 0. 25 = 145 >5 n(1-p) >5. = (0. 25 x 0. 75)/580 =0. 018 z = (0. 262 0. 25)/0. 018 =0. 67. 0. 67 < 1. 96 not in the rejection region.
