New Transplant Protocol Improves Survival Rate reported in 2004 about a new drug
ID: 3180100 • Letter: N
Question
New Transplant Protocol Improves Survival Rate reported in 2004 about a new drug treatment whereby intestine transplant recipients were given an injection beforehand that killed the immune system cells that typically attack a donor organ. It states that "96% of the [123] patients survived after one year. the normal one-year survival rate for intestine transplant recipients is around 80%.^"44 This output shows results of a test carried out with software. Test of p = 0.8 vs p > 0.8 Sample X N Sample p 95.0% Lower Bound P-Value 1 118 123 0.959350 0.916432 0.000 Explain why the alternative hypothesis uses " > " instead of "Explanation / Answer
sol:
we want to prove 96% survived so
should be greater than 0.8
so used > symbol
Solutionb:
only two events
survival or death
probability of survival =successes=p
probability of death=failure=1-p
success+failure=1
so use binomial instead of normal
Solutionc:
there is significant improvement with new protocal
since p=0.0000 from output
p<0.05
Reject Null hypothesis
So accept alternative hypothesis
there is sufficient evidence at 5% level of significance to support the claim that p>0.8 with new protocal
Solutiond:
NO
since 0.80 does not lie in the 95% confidence interval
since lowe boundary is only 0.916432 from the output
upper boundar will be more than this lower boundary
so 0.80 is not in the confidence interval range.
supports alternative hypothesis
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