The Ankle Brachial Index (ABI) compares the blood pressure of a patient\'s arm t
ID: 3155513 • Letter: T
Question
The Ankle Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure of the patient's leg. A healthy ABI is 0.9 or greater. In a study, researchers obtained the ABI of 187 women with arterial disease. The results were a mean ABI of 0.87 with a standard deviation of 0.13. At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, women with arterial disease have an unhealthy ABI? Click here to view a partial table of values of t_Alpha. Set up the hypotheses for the one-mean t-test.Explanation / Answer
Set Up Hypothesis
Null,an Healthy ABI H0: U>=0.9
Alternate, women with unhealthy ABI, H1: U<0.9
Test Statistic
Population Mean(U)=0.9
Sample X(Mean)=0.87
Standard Deviation(S.D)=0.13
Number (n)=187
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =0.87-0.9/(0.13/Sqrt(187))
to =-3.16
| to | =3.16
Critical Value
The Value of |t | with n-1 = 186 d.f is 1.653
We got |to| =3.16 & | t | =1.653
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Left Tail -Ha : ( P < -3.1557 ) = 0.00093
Hence Value of P0.05 > 0.00093,Here we Reject Ho
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