Question

Janet wants to estimate the percentage of people who have been required to take a drug test for work. She surveys 250 individuals and finds that 175 have taken a drug test for work. What is the correct interpretation of the 98%confidence interval? Select the correct answer below:

O We estimate that 98% of the time a survey is taken, the proportion of people who have take will be between 0.633 and 0.767.
O We estimate with 98% confidence that the sample proportion of people who have taken a drug test for work is between 0.633 and 0.767.
O We estimate with 98% confidence that the true population proportion of people who have taken a drug test for work is between 0.633 and 0.767.

Answer 1

The 98% confidence interval indicates that for many samples taken, 98% of those confidence intervals would include the true population proportion of individuals who have taken a drug test for work, estimated to be between 0.633 and 0.767.

Step-by-step explanation:

The correct interpretation of the 98% confidence interval for Janet's survey is: We estimate with 98% confidence that the true population proportion of people who have taken a drug test for work is between 0.633 and 0.767. This interpretation means that if we were to take many samples of 250 individuals and calculate the confidence interval for each sample, we would expect 98% of those intervals to contain the true population proportion of people who have taken a drug test for their work.