math80.sample quiz 2 - H a not so Expected Frequencies and...

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wostner : worksheet : mendel experiment ©2007-2009 ulf wostner <[email protected]> Mendel's TheoryGregory Mendel [1822-1884], the father of genetics In a famous experiment, Mendel studied four types of peas: RY = " round yellow peas" RG = " round green peas" WY = " wrinkled yellow peas" WG = " wrinkled green peas" His genetic theory predicted these proportions: RY : RG : WY : WG = 9 : 3 : 3 : 1 His experiment yielded these frequencies: RY = 315, RG = 108, WY = 101, and WG = 31. Set up the Hypotheses H 0 : RY : RG : WY : WG = 9 : 3 : 3 : 1
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Unformatted text preview: H a : not so Expected Frequencies and the Χ 2 test-statistic Phenotyp e Observed Frequencies Expected Frequencies O-E (O-E) 2 ⁄ E RY RG 0.1490 WY WG Totals: 555 555 0.6565 Look up the Critical Point Find the critical value using our default of α = 5%. Graph the Rejection Region Conclusion • We REJECT ⁄ ACCEPT H • We REJECT ⁄ ACCEPT H a Discussion: Was the fit "too good to be true" ?Consider these table values, from a left-tail Χ 2 table: • Χ 2 3,0.95 = 0.352 • Χ 2 3,0.90 = 0.584 • Χ 2 3,0.05 = 7.815...
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