x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3 y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7 Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated.

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Part 1 of 4
Does the length of a surgery patient's stay in the hospital depend on the length of time the
operation took? The table below gives the operative time (in hours) and the length of the hospital
stay (in days) for 10 patients. (Comma separated lists of the data are also provided below the table
to ease in copying the data to R.)
Operative Time (x)
Length of Hospital Stay (y)
5.
13
13
12
2
12
6.
14
17
4
12
12
15
3.
x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3
y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7
Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative
time and the length of a patient's hospital stay are correlated.
Step 1: State the null and alternative hypotheses.
Transcribed Image Text:Part 1 of 4 Does the length of a surgery patient's stay in the hospital depend on the length of time the operation took? The table below gives the operative time (in hours) and the length of the hospital stay (in days) for 10 patients. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Operative Time (x) Length of Hospital Stay (y) 5. 13 13 12 2 12 6. 14 17 4 12 12 15 3. x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3 y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7 Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses.
Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative
time and the length of a patient's hospital stay are correlated.
Step 1: State the null and alternative hypotheses.
Ho:P
Ha:p #v
(So we will be performing a two-tailed
test.)
Part 2 of 4
Step 2: Determine the features of the distribution used to test the significance of the
correlation coefficient.
To test the significance of the correlation coefficient, we will use a t-distribution
with
8.
degrees of freedom.
Part 3 of 4
Step 3: Find the p-value of the point estimate.
0.598
= P(tv
2.1916
P(r 2v
0.6125
p-value:
0.0598
Ouestion Help: D Post to forum
Transcribed Image Text:Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses. Ho:P Ha:p #v (So we will be performing a two-tailed test.) Part 2 of 4 Step 2: Determine the features of the distribution used to test the significance of the correlation coefficient. To test the significance of the correlation coefficient, we will use a t-distribution with 8. degrees of freedom. Part 3 of 4 Step 3: Find the p-value of the point estimate. 0.598 = P(tv 2.1916 P(r 2v 0.6125 p-value: 0.0598 Ouestion Help: D Post to forum
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