# Suppose a hospital in town is interested in conducting a survey to ...

## Question

Suppose a hospital in town is interested in conducting a survey to assess the satisfaction of their patients when it comes to the admittance process. Some patients have complained that it takes too long to be admitted to the hospital between all the paperwork that needs to be completed and all the people they need to talk to. The hospital decided to pilot a new computer system which should streamline this process. A random sample of 300 patients were admitted to the hospital using the new system, and 160 of them had nothing but positive things to say about the new process.

1. Identify the parameter of interest, making sure to use the appropriate statistical notation in your answer.

2. Using JMP, construct a 90% confidence interval for the parameter of interest identified in Question 1. Give the bounds of the confidence interval below.

__________ ≤ p ≤ __________

3. Interpret the 90% confidence interval found in Question 2.

4. T    F    Based on the 90% confidence interval identified in Question 2, it can be concluded that the majority of patients have nothing but positive things to say about the new system.

## Solution Preview

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Suppose a hospital in town is interested in conducting a survey to assess the satisfaction of their patients when it comes to the admittance process. Some patients have complained that it takes too long to be admitted to the hospital between all the paperwork that needs to be completed and all the people they need to talk to. The hospital decided to pilot a new computer system which should streamline this process. A random sample of 300 patients were admitted to the hospital using the new system, and 160 of them had nothing but positive things to say about the new process.

1. Identify the parameter of interest, making sure to use the appropriate statistical notation in your answer.

Population : All patients in the town who go to the hospital
Parameter: The true proportion of all the patients from the town who visit the hospital and had nothing but positive things to say about the new system (p)

Sample: The 300 patients of the town who visit the hospital and were surveyed
Statistic: The proportion of surveyed patients from the town who visit the hospital and had nothing but positive things to say about the new system (p^ =160/300=0.5333)...

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