Colorectal surgery is associated with a high rate of surgical site infection (SSI). Complications arising from SSI significantly increase an individual's length of hospital stay, reduce quality of life, and can also lead to additional health care needs. Outcomes of 2,919 colorectal surgeries were collected for research, including age and whether an individual developed a surgical site infection. Medical researchers would like to use this sample data to learn about health outcomes for colorectal surgery. One question medical researchers were hoping to answer is whether the difference in the ages of colorectal surgery patients who develop SSI and those who do not is too great

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Colorectal surgery is associated with a high rate of surgical site infection (SSI). Complications arising from SSI significantly increase an individual's length of hospital stay, reduce quality of life, and can also lead to additional health care needs. Outcomes of 2,919 colorectal surgeries were collected for research, including age and whether an individual developed a surgical site infection. Medical researchers would like to use this sample data to learn about health outcomes for colorectal surgery. One question medical researchers were hoping to answer is whether the difference in the ages of colorectal surgery patients who develop SSI and those who do not is too great to have resulted from sampling error alone. Perform a two-sample t-test for comparing two population means to answer this question.
Enter the requested values below, rounded to three decimal places as needed.
Difference of means:
-1.372
Standard Error:
1.130
Test Statistic:
Degrees of freedom:
P-value:
Transcribed Image Text:Enter the requested values below, rounded to three decimal places as needed. Difference of means: -1.372 Standard Error: 1.130 Test Statistic: Degrees of freedom: P-value:
Because both assumptions have been met, we can pursue the analysis and determine if the data provide
convincing evidence that the mean age for patients who do not develop surgical site infection (SSI) is different
than the mean age of patients who do develop surgical site infection. Write the hypotheses, with patients who
do not develop SSI assigned to group 1 and patients who do develop SSI assigned to group 2. (Enter != for #
as needed.)
H = mean Age of patients who do not develop SSI
H2
= mean Age of patients who do develop SI
Ho
41-23D0
Use a significance level of a 0.05.
Part 5 of 6
Recall our hypotheses and summary statistics.
Ho: H1 - H2 = 0
H: - H2 #0
Surgical Site Infection (S SI)
Sample Size
Mean Age
Standard deviation
No Infection
2,678
52.456
16.891
Yes Infection
241
53.828
15.852
In SALT, click on the "Inferential Statistics" page.
Transcribed Image Text:Because both assumptions have been met, we can pursue the analysis and determine if the data provide convincing evidence that the mean age for patients who do not develop surgical site infection (SSI) is different than the mean age of patients who do develop surgical site infection. Write the hypotheses, with patients who do not develop SSI assigned to group 1 and patients who do develop SSI assigned to group 2. (Enter != for # as needed.) H = mean Age of patients who do not develop SSI H2 = mean Age of patients who do develop SI Ho 41-23D0 Use a significance level of a 0.05. Part 5 of 6 Recall our hypotheses and summary statistics. Ho: H1 - H2 = 0 H: - H2 #0 Surgical Site Infection (S SI) Sample Size Mean Age Standard deviation No Infection 2,678 52.456 16.891 Yes Infection 241 53.828 15.852 In SALT, click on the "Inferential Statistics" page.
Expert Solution
Step 1

Given,

Surgical site infection (SSI) sample size  Mean Age Standard deviation
No infection 2678 52.456 16.891
Yes infection 241 53.828 15.852
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