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### Lecture_3

Course: BIS 101, Spring 2010
School: UC Davis
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Word Count: 150

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of 1 Outline lecture 3 Testing statistical significance of the agreement between observed and theoretical segregation ratio. 2 Goodness of fit test 2 = (Observed number expected number)2/expected number The expected number, e.g., for the 3:1 ratio: The expected number for the class of 3 = Total number x 3/4 The expected number for the class of 1 = Total number x 1/4 Null hypothesis (H0): Alternative...

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of 1 Outline lecture 3 Testing statistical significance of the agreement between observed and theoretical segregation ratio. 2 Goodness of fit test 2 = (Observed number expected number)2/expected number The expected number, e.g., for the 3:1 ratio: The expected number for the class of 3 = Total number x 3/4 The expected number for the class of 1 = Total number x 1/4 Null hypothesis (H0): Alternative hypothesis (HA): Character red pink white Total P ratio is ratio is not Observed 182 61 77 320 1:2:1 1:2:1 Expected 160 80 80 320 = Conclusion: Chi-square table (O-E)2 484 361 9 (O probability E)2/E 3.0 4.5 0.1 7.6 3 In this case, P of the difference between the observed numbers in each class and expected numbers on the basis of the H0 hypothesis is below the 0.05 (5%) probability boundary. We therefore conclude that the difference is not due to chance alone; there is a cause. The cause is that the population segregates in a different ratio than we hypothesized. We therefore reject the H0 hypothesis and accept the HA hypothesis.
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UC Davis - BIS - 101
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UC Davis - BIS - 101
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UC Davis - BIS - 101
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UC Davis - BIS - 101
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UC Davis - BIS - 101
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UC Davis - BIS - 101
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UC Davis - BIS - 101
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UC Davis - BIS - 101
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UC Davis - BIS - 101
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--~-DC()\ ~JL.co&lt;ll'.PO),/ tl2.&quot;lOO.-~.-.,.4-!'l.JJfM,;l'cr ':0&lt;. 5 y;:(.:/~jc?Y'~,-,r&quot;l-/,(f0l./'-Ac9fCllL'S, ~e;s+-~dv~_~cLclJJ.LtdL~flJ,-&lt;'1It lODLYle&lt; qSJ~\50.~A.cfw_-~-JL_~~l5&quot;i.--LCtf&amp;L~dk-kuJ,.~_ __~
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