According to genetic theory, a particular cross of two cultivars of sorghum should produce plants with red, yellow, or white seeds in the proportions 9/16, 3/16 and 1/4. Data from an experiment yielded the following results.
|
Red
|
Yellow
|
White
|
|
|
Count
|
207
|
66
|
79
|
1. What is the expected count for White seeds?
2. Compute the value of the test statistic.
3. How many degrees of freedom are there?
4. Which interval in the table contains the p-value for the test?
P-value ≤ 0.005
0.005 < p-value ≤ 0.01
0.01 < p-value ≤ 0.025
0.025 < p-value ≤ 0.05
0.05 < p-value ≤ 0.1
P-value > 0.1
5. What is the most appropriate conclusion at α = 0.05?
There is no difference among the colors.
We cannot reject the null hypothesis that the probabilities are not as stated.
We can reject the null hypothesis that the probabilities are not as stated.
There is no evidence against the null hypothesis that the probabilities given by genetic theory hold.