gency ave hospital. Do patients at rural hospitals have a lower waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 4.4 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.9 hours. What can be concluded at the the a = 0.05 level of significance level of significance? Use the p-value approach. a. For this study, we should use [t-test for a population mean b. The null and alternative hypotheses would be: Ho: μ H₁: P

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Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the
hospital. Do patients at rural hospitals have a lower waiting time? The 14 randomly selected patients who
went to the emergency room at rural hospitals waited an average of 4.4 hours to be admitted into the
hospital. The standard deviation for these 14 patients was 1.9 hours. What can be concluded at the the a =
0.05 level of significance level of significance? Use the p-value approach.
a. For this study, we should use t-test for a population mean
8
8
b. The null and alternative hypotheses would be:
Ho:
H₁:
Transcribed Image Text:Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 4.4 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.9 hours. What can be concluded at the the a = 0.05 level of significance level of significance? Use the p-value approach. a. For this study, we should use t-test for a population mean 8 8 b. The null and alternative hypotheses would be: Ho: H₁:
c. The test statistic t
d. The p-value =
e. The p-value is ≤ v α
=
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
f. Based on this, we should reject
the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest the populaton mean is significantly lower than 6 at a = 0.05, 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 lower
than 6 hours.
The data suggest the population mean is not significantly lower than 6 at a = 0.05, 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
6 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 not significantly lower than 6 hours
Transcribed Image Text:c. The test statistic t d. The p-value = e. The p-value is ≤ v α = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly lower than 6 at a = 0.05, 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 lower than 6 hours. The data suggest the population mean is not significantly lower than 6 at a = 0.05, 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 6 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 not significantly lower than 6 hours
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