Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a different waiting time? The 14 randomly selected...

Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a different waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 4.8 hours to be admitted into the hospital. The standard deviation for these 14 patients was 2.5 hours. What can be concluded at the the αα = 0.10 level of significance level of significance?

1. For this study, we should use
   (t-test for population mean, z-test for population proportion)
   


2. The null and alternative hypotheses would be:

 H0:
(symbol) (symbol) ____

 H1:
(symbol) (symbol) ____

1. The test statistic
   (?,t,z)
   =
   ____
   (please show your answer to 3 decimal places.)


2. The p-value
   = ______
   (Please show your answer to 4 decimal places.)


3. The p-value is
   (symbol)  αα


4. Based on this, we should
   (fail to reject, accept, reject)
   the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The data suggest the population mean is notsignificantly different from 7 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.
   
   
   • The data suggest the populaton mean issignificantly different from 7 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is different from 7 hours.
   
   
   • The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is notsignificantly different from 7 hours at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is different from 7 hours.