Analysis of a random sample of 250 Nova Scotia nurses produced a 95% confidence interval for the mean annual salary of $\$42,841<\mu \text{ (Nurse Salary) }<\$49,696.$

A) We are 95% confident that the interval from $42,841 to $49,696 contains the true mean salary of all Nova Scotia nurses.
B) We are 95% confident that the average nurse salary in the Canada is between $42,841 and $49,696.
C) About 95% of the nurses surveyed earn between $42,841 and $49,696.
D) About 95% of Nova Scotia nurses earn between $42,841 and $49,696.
E) If we took many random samples of Nova Scotia nurses,about 95% of them would produce this confidence interval.

A 95% confidence interval means that if we were to repeat the sampling process many times, about 95% of the intervals constructed would contain the true mean salary of all Nova Scotia nurses. Therefore, option A is the most accurate statement. Option B is incorrect because it makes a claim about the average nurse salary in all of Canada, not just Nova Scotia. Option C is incorrect because it implies that 95% of the individual nurses surveyed fall within that salary range, which may not be true. Option D is also incorrect because it makes a claim about all Nova Scotia nurses, which we cannot be sure of based on a single sample. Option E is incorrect because it refers to the repeatability of the sampling process, not the accuracy of the specific interval calculated from this sample.