Question 33 • EHS Content Recovery - Probability and Statistics - Part D
A college performs a survey of 424 randomly chosen graduates to estimate the proportion of alumni who are working in the field of their college degree. For example, if a student earned a degree in biology, do they work in the field of biology? Of the 424 alumni, 361 reported that they were working in the field of their college degree. A 98% confidence interval for the true proportion of graduates who are working in the field of their degree is (0.811, 0.892). What is the correct interpretation of the confidence interval?
Answer
A
98% of all polls of graduates like these will give sample proportions in the range from 0.811 to 0.892.
B
The percentage of all graduates who are working in the field of their degree is certainly between 0.811 and 0.892.
C
It can be stated with 98% confidence that the proportion of all graduates who are working in the field of their degree is captured by the interval from 0.811 to 0.892.
D
It can be stated with 98% confidence that the sample proportion of graduates who are working in the field of their degree is contained within the confidence interval.