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Nationally, patients who go to the emergency room wait an average of 5 hours to be admitted into the hospital. Do patients at rural hospitals

Nationally, patients who go to the emergency room wait an average of 5 hours to be admitted into the hospital. Do patients at rural hospitals have a higher waiting time? The 13 randomly selected patients who went to the emergency room at rural hospitals waited an average of 6 hours to be admitted into the hospital. The standard deviation for these 13 patients was 1.9 hours. What can be concluded at the the

= 0.01 level of significance level of significance?

  1. For this study, we should useSelect an answer
  2. t-test for a population mean
  3. z-test for a population proportion
  4. The null and alternative hypotheses would be:

H

0

:

H0:

?

p

Select an answer

=

<

>

H

1

:

H1:

?

p

Select an answer

>

=

<

  1. The test statistic?
  2. t
  3. z
  4. =(please show your answer to 3 decimal places.)
  5. The p-value =(Please show your answer to 4 decimal places.)
  6. The p-value is?
  7. >
  8. Based on this, we shouldSelect an answer
  9. fail to reject
  10. reject
  11. accept
  12. the null hypothesis.
  13. Thus, the final conclusion is that ...
  • 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 notsignificantlyhigher than 5 hours at
  • = 0.01, 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 higher than 5 hours.
  • The data suggest the population mean is notsignificantlyhigher than 5 at
  • = 0.01, 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 5 hours.
  • The data suggest the populaton mean issignificantlyhigher than 5 at
  • = 0.01, 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 higher than 5 hours.

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