Here is a 95% confidence interval estimate of the proportion of all jobs applicants who test positive when they are tested for drug use: 0.0262 < p < 0.0499 (based on data from Quest Diagnostics). Which of the statements correctly interprets this confidence interval?
a. The interval provides a range of plausible values for the proportion of all jobs applicants who test positive when they are tested for drug use.
b. The interval provides a range of plausible values for the sample proportion jobs applicants who test positive when they are tested for drug use.
c. The probability that the interval (0.0262, 0.0499) contains the proportion of all jobs applicants who test positive when they are tested for drug use is 0.95.
d. We are 95% confident about the interval (0.0262, 0.0499) in the sense that 95% of the intervals calculated in this way will contain the proportion of all jobs applicants who test positive when they are tested for drug use.
e. Both (a) and (d) are correct.