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# Chi square test as a test for goodness of fit

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In a classical experiment, Gregor Mendel observed the shape and color of peas that resulted certain crossbreedings. A sample of 556 peas was studied with the result that 315 produced round yellow, 108 produced round green, 101 produced wrinkled yellow, and 32 produced wrinkled green. According to Mendelian theory, the frequencies should be in the ratio 9 : 3 : 3 : 1 . This is the relative ratio of peas that produced round yellow, round green, wrinkled yellow and wrinkled green respectively. What can be concluded from a chi-squared test?

https://brainmass.com/statistics/chi-squared-test/chi-square-test-as-a-test-for-goodness-of-fit-227037

#### Solution Preview

In a classical experiment, Gregor Mendel observed the shape and color of peas that resulted certain crossbreedings. A sample of 556 peas was studied with the result that 315 produced round yellow, 108 produced round green, 101 produced wrinkled yellow, and 32 produced wrinkled green. According to Mendelian theory, the frequencies should be in the ratio 9 : 3 : 3 : 1 . This is the relative ratio of peas that produced round yellow, round green, wrinkled yellow and wrinkled green respectively. What can be concluded from a chi-squared test?
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#### Solution Summary

Uses chi square test as a test for goodness of fit.

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