New Transplant Protocol Improves Survival Rate reported in 2004 about a new drug

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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