Question

Introduction:

As a healthcare professional, you will work to improve and maintain the health of individuals, families, and communities in various settings. Basic statistical analysis can be used to gain an understanding of current problems. Understanding the current situation is the first step in discovering where an opportunity for improvement exists. This course project will assist you in applying basic statistical principles to a fictional scenario in order to impact the health and wellbeing of the clients being served.

This assignment will be completed in phases throughout the quarter. As you gain additional knowledge through the didactic portion of this course, you will be able to apply your new knowledge to this project. You will receive formative feedback from your instructor on each submission. The final project will be due on week 10.  

Scenario:

You are currently working at NCLEX Memorial Hospital in the Infectious Diseases Unit. Over the past few days, you have noticed an increase in patients admitted with a particular infectious disease. You believe that the ages of these patients play a critical role in the method used to treat the patients. You decide to speak to your manager and together you work to use statistical analysis to look more closely at the ages of these patients. You do some research and put together a spreadsheet of the data that contains the following information:

Client number

Infection Disease Status

Age of the patient

You need the preliminary findings immediately so that you can start treating these patients. So let’s get to work!!!!

Background information on the Data:

The data set consists of 60 patients that have the infectious disease with ages ranging from 35 years of age to 76 years of age for NCLEX Memorial Hospital. Remember this assignment will be completed over the duration of the course.

Patient #	Infectious Disease	Age
1	Yes	69
2	Yes	35
3	Yes	60
4	Yes	55
5	Yes	49
6	Yes	60
7	Yes	72
8	Yes	70
9	Yes	70
10	Yes	73
11	Yes	68
12	Yes	72
13	Yes	74
14	Yes	69
15	Yes	46
16	Yes	48
17	Yes	70
18	Yes	55
19	Yes	49
20	Yes	60
21	Yes	72
22	Yes	70
23	Yes	76
24	Yes	56
25	Yes	59
26	Yes	64
27	Yes	71
28	Yes	69
29	Yes	55
30	Yes	61
31	Yes	70
32	Yes	55
33	Yes	45
34	Yes	69
35	Yes	54
36	Yes	48
37	Yes	60
38	Yes	61
39	Yes	50
40	Yes	59
41	Yes	60
42	Yes	62
43	Yes	63
44	Yes	53
45	Yes	64
46	Yes	50
47	Yes	69
48	Yes	52
49	Yes	68
50	Yes	70
51	Yes	69
52	Yes	59
53	Yes	58
54	Yes	69
55	Yes	65
56	Yes	61
57	Yes	59
58	Yes	71
59	Yes	71
60	Yes	68

Perform the hypothesis test

Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age. Test the claim using alpha=0.05 and assume you data is normally distributed and sigma is unknown.

Document the following steps.

1. Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.

2. Is the test two-tailed, or right-tailed? Explain

3. Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.

4. What is the value of the test statistic? Show your calculation

5. What is the P-value? Explain how you determined it.

6. What is the critical value? Explain how you calulated it.

7. What is your decision? Reject the null or do not reject the null? Explain why you made your decision including the results for your p-value and the critical value.

8. State the final conclusion in non-technical terms.

Please show your work for the construction of the test-statistic and explain your process for finding the p-value and critical value. You may use the Equation Editor to format your calculation steps on the Word document or attach an Excel spreadsheet clearly showing each calculation for #B4 and #B5, but your answers still need to appear on the Word document. Also, be sure to number each response in your paper using the same numbers as above

Answer 1

Q 1)

Null Hypothesis

ALternative Hypothesis

Q 2) This is right tailed test, because the sample outcome is hypothesized to the right tail of the distribution.

Q 3) Here we use t -test because the population standard deviation is unknown.

Q 4)

Mean

Standard deviation

The test statistic is