A doctor believes that the new admissions policy in the emergency room is having no impact on how long people have to wait to see the medical staff. Records show that the average wait time has always been about 45 minutes. A good random sample of wait times with the new policy (different times, days, locations) is observed. The mean wait time for this sample is 41.5 minutes. Using these values, the sample size, and standard deviation, a p-value of 0.045 = 4.5% is determined (the observed level of significance).
Complete the following test of significance:
Null Hypothesis:
Alternate Hypothesis:
Is the p-value big or small?
Decision about the Null:
Conclusion:
Type of error you should be concerned with:
What is a possible harm if that error occurs in this situation?