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Statistics Questions on Sorghum and High School Grades

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Statistics Questions. See attached file for full problem description.

4. The attached table shows the data of 77 students on public or private school attendance in the elementary and high school grades. For example, 34 out of 77 students attended both public elementary and public high schools.

Test at the 0.05 significance level whether the attendance in the type of school at the elementary grades are independent of that in the high school grades.

5. Sorghum is an important cereal crop whose quality and appearance could be affected by the presence of pigments in the pericarp (the walls of the plant ovary), A research article reports on an experiment that involved an initial cross between CK60 sorghum (an American variety with white seeds) and Abu Taima (an Ethiopian variety with yellow seeds) to produce plants with reds seeds followed by a self-cross of the red-seeded plants. According to genetic theory, this should produce plants with red, yellow, or white seeds in the ratio 9:3:4. The data from the experiment is shown attached.

Do a goodness-of-fit test to test whether the data confirms or contradicts the genetic theory. Find the p-value, then use the significance level 0.05.

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The solution tests for the significance for high school grades and sorghum.

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