Q1) As condition of employment, Fashion Industries candidates should pass drug test. Of last 220 applicants 14 failed the test. Create a 99% confidence interval for proportion of applicants that fail the test. Would it be sensible to conclude that more than 10% of applicants are now failing the test? Additionally to testing of applicants, Fashion Industries randomly tests its employees throughout year. Last year in 400 random tests conducted, 14 employees failed the test.  Would it be sensible to conclude that less than 5% of employees are not able to pass random drug test?

Q2) Recent survey of 50 executives who were laid off from their earlier position revealed it took the mean of 26 weeks for them to determine another position. Standard deviation of sample was 6.2 weeks.  Create a 95% confidence interval for population mean. Is it sensible that population mean is 28 weeks? give explanation for your answer.