Final answer:
To suggest no association between soil type and time to reach harvest readiness in corn, the proportion of plants reaching readiness in less than 80 days and 80 days or more should be the same for soil A and B. By applying the proportions from soil A to soil B, we calculate that there should be 68 plants in soil B reaching readiness in less than 80 days and 32 in 80 days or more.
Step-by-step explanation:
To determine if there is no association between soil type and time to reach harvest readiness for corn plants, we need to complete the given contingency table. The provided data informs us that there are 279 corn plants grown in soil A that reach harvest readiness in less than 80 days, and 131 that take 80 days or more. For soil B, 100 corn plants are grown, but we don't know the distribution of the time to reach harvest readiness for these plants yet.
To suggest no association between soil type and time to reach harvest readiness, the proportions of corn plants that take less than 80 days and those that take 80 days or more must be similar for both soil A and soil B. We can calculate the proportion for soil A and apply the same proportion to soil B.
To do this:
Calculate the total number of plants in soil A: 279 + 131 = 410.
Calculate the proportion of each category in soil A.
Less than 80 days: 279/410
80 days or more: 131/410
Apply these proportions to the 100 plants in soil B.
Less than 80 days in soil B: 100 x (279/410) = 68 (rounded to nearest whole number).
80 days or more in soil B: 100 x (131/410) = 32 (rounded to nearest whole number).
Therefore, the completed table would have 68 corn plants in soil B that reach harvest readiness in less than 80 days, and 32 in 80 days or more, assuming no association between soil type and time to harvest readiness.