(04.05 MC) A random sample of 92 sophomores are asked whether they plan to attend Homecoming. Of these, 51 sophomores said they will attend. What is the margin of error at 90% confidence and its interpretation?

A) 0.102, 90% of the time we will capture the true proportion of sophomores who will attend Homecoming within 0.102 of the population proportion

B) 0.085; 90% of the time we will capture the true proportion of sophomores who will attend Homecoming within 0.085 of the population proportion

C) 0.102: we are 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.102 of the sample proportion

D) 0.085; we are 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.085 of the sample proportion​