In: Statistics and Probability
Matwirth corporation has instituted a new disciplinary policy for employees who fail a random drug test. The personnel office wishes to test to see if there is a difference in employee behavior based on the new policy. The records of 500 employee drug tests from before the new policy were randomly selected and 500 drug test results from after the new policy were also randomly selected. In the sample from before the new policy, 1.80% tested positive, while 1.40% in the sample from after the new policy tested positive.
For the hypotheses,
H0: p1 = p2 and HA: p1 > p2,
what is the p-value and the conclusion of this test at the 0.1 level of significance?
8. Construct a 99% confidence interval for the population mean for a sample of size 20 with mean 5.01 and standard deviation 2.21.
WITH EXPLAINATION OF WORK