A hospital administrator hoping to improve wait times decides to estimate the average emergency room waiting time at her hospital. She collects a simple random sample of 64 patients and determines the time (in minutes) between when they checked in to the ER until they were first seen by a doctor. A 95% confidence interval based on this sample is between 125 minutes and 148 minutes. Which of the following statements is true?单项选择题

A

We are 95% confident that the average waiting time of all patients at this hospital’s emergency room is between 125 and 148 minutes.

B

We are 95% confident that the average waiting time of these 64 emergency room patients is between 125 and 148 minutes.

C

95% of random samples have a sample mean between 125 and 148 minutes.

D

In order to decrease the margin of error of a 95% confidence interval to half of what it is now, we would need to double the sample size.

E

A 90% confidence interval would be wider than the 95% confidence interval.

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You would like to know if a majority of students at Emory support the university-wide vaccine mandate. You conduct a hypothesis test with the hypotheses: 𝐻 0 :  𝑝 = 0.5 , and  𝐻 𝑎 :  𝑝 ≠ 0.5 . You collect data from 50 students, calculate a positive test statistic, and find a p-value of 0.06. What would be true regarding a 95% confidence interval for the same sample data?

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