Question
A hospital was concerned about reducing its wait time. A targeted wait time goal of 25 minutes was set. After implementing an improvement framework andprocess,
A hospital was concerned about reducing its wait time. A targeted wait time goal of 25 minutes was set. After implementing an improvement framework andprocess, a sample of 343 patients showed the mean wait time was 23.04 minutes, with a standard deviation of 16.56 minutes. Complete parts(a) and(b) below.
a. If you test the null hypothesis at the 0.10 level ofsignificance, is there evidence that the population mean wait time is less than 25 minutes?
Find the test statistic for this hypothesis test. Type an integer or a decimal. Round to two decimal places asneeded.
Thep-value is (Type an integer or a decimal. Round to three decimal places asneeded.)
Is there sufficient evidence to reject the nullhypothesis? (Use a 0.10 level ofsignificance.)
A. Donotreject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean wait time is greater than 25 minutes.
B. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean wait time is less than 25 minutes.
C. Donotreject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean wait time is less than 25 minutes.
D. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean wait time is greater than 25 minutes.
b. Interpret the meaning of thep-value in this problem.
A. Thep-value is the probability that the actual mean wait time is more than 23.04 minutes.
B. Thep-value is the probability that the actual mean wait time is 23.04 minutes or less.
C. Thep-value is the probability that the actual mean wait time is 25 minutes given the sample mean wait time is 23.04 minutes.
D. Thep-value is the probability of getting a sample mean wait time of 23.04 minutes or less if the actual mean wait time is 25 minutes.
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