Question: Increased blood vessel formulation is a predictive factor in survival for a certain disease. One treatment is stem cell transplantation with the patient's own stem
Increased blood vessel formulation is a predictive factor in survival for a certain disease. One treatment is stem cell transplantation with the patient's own stem cells. The accompanying data table represents the microvessel density for patients who had a complete response to the stem cell transplant. The measurements were taken immediately prior to the stem cell transplant and at the time the complete response was determined. At the
0.01
level of significance, is there evidence that the mean microvessel density is higher before the stem cell transplant than after the stem cell transplant?
Let 1 be the mean density before the transplant and let 2 be the mean density after the transplant. State the null and alternative hypotheses.
| Patient | Before | After |
| 1 | 177 | 323 |
| 2 | 205 | 118 |
| 3 | 191 | 201 |
| 4 | 323 | 178 |
| 5 | 410 | 289 |
| 6 | 411 | 161 |
| 7 | 410 | 269 |
b.b.
Interpret the meaning of the p-value in (a). Choose the correct answer below.
A.
The p-value is the probability of not rejecting the null hypothesis when it is false.
B.
The p-value is the probability of obtaining a sample mean difference of greater than or equal to the sample mean difference from the data if the population mean densities both before and after the transplant are the same.
C.
The p-value is the probability of rejecting the null hypothesis when it is true.
D.
The p-value is the probability of obtaining a sample mean difference of
lessless
than or equal to the sample mean difference from the data if the population mean densities both before and after the transplant are the same.
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
