Question

The Ankle-Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure of a patient's leg. The ABI can be an indicator of different diseases (especially arterial disease). A healthy ABI is 0.90 or higher. In a study of 187 women who had peripheral arterial disease, researchers found that the sample had an average ABI of 0.64 with a standard deviation of 0.15; at the conventional level, do the data provide evidence to conclude that, on average, women with peripheral arterial disease have an unhealthy ABI?

Answer #1

H0: >= 0.90

Ha: < 0.90

Test statistics

t = ( - ) / ( S / sqrt(n) )

= (0.64 - 0.90 ) / (0.15 / sqrt(187) )

= -23.70

Critical value at 0.05 level with 186 df = -1.653

Since test statistics falls in rejection region, Reject H0.

We conclude at 0.05 level that we have sufficient evidence to support the claim.

the ankle brachial Index (ABI) compares the blood preasure of
a patients arm to the blood preasure in their leg. A healthy ABI is
0.9 or greater. In a study, reseachers obtained the ABI of 187
women with the arterial disease. The results were a mean of ABI of
0.90 with a standard deviation of 0.15. At the 10% signifiance
level, do the data provide sufficient evidence to conclude that, on
average, women with arterial disease have an unhealthy ABI?

The ankle brachial index (ABI) compares the blood pressure in a
patient’s arm to the blood pressure in the patient’s leg. The value
of ABI can be an indicator of di↵erent diseases, including arterial
disease. A healthy (or normal) ABI is 0.9. In one study, the
researchers obtained the ABI of n = 187 randomly selected women
with peripheral arterial disease. The sample mean and standard
deviation were ¯x = 0.64 and s = 1.5, respectively. Assume that ABI
is...

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. A study obtained the ABI of 51 women. The
results were a mean ABI of 0.64 with a sample standard deviation of
0.15. Does the data provide sufficient evidence to conclude that,
on average, women with peripheral arterial disease have an
unhealthy ABI? , identify the null hypothesis, alternative
hypothesis, test statistic,...

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