Final answer:
To determine the rate at which students earned honors at community colleges, you need specific data on the total number of students and the number who achieved honors. Once you have that data, the rate is calculated by dividing the number of students with honors by the total student population and then multiplying by 100 to get a percentage.
Step-by-step explanation:
The estimation of the rate at which students earned honors at Gillway Community College and Montessa Valley Community College involves using statistical methods to make an inference about a population parameter.
Unfortunately, the question does not provide specific data regarding the number or percentage of students who earned honors at these two institutions. To perform an estimation, data such as the total number of students and the number of students who received honors would be required.
Once the relevant data is gathered, you can calculate the rate by dividing the number of students who earned honors by the total number of students and multiplying the result by 100 to get a percentage.
For example, if Gillway Community College had 1,000 students and 150 earned honors, the rate would be calculated as (150/1,000)*100 = 15%. Similarly, if Montessa Valley Community College had 2,000 students with 300 earning honors, the rate would be (300/2,000)*100 = 15%. These rates provide an estimate of the prevalence of honors students in the respective colleges.