A new test is proposed that may be better or worse than the standard test. To assess their relative efficacy, a pilot study is conducted where both tests are used on the same subjects and compared with the true diagnosis. Let + = correct assessment, − = incorrect assessment. The results are given in Table 10.44.taBlE 10.44Standard testComparison of two screening tests for Down’s syndromestandard testnew testN++82+-5-+10--3 100Thus, for 82 infants, both tests make the correct classification, for 3 infants both tests make the wrong classification, for 5 infants the standard test makes the correct diagnosis while the new test does not, and for 10 infants the new test makes the correct diagnosis while the standard test does not.10.125 Perform a hypothesis test to compare the accuracy of the two tests, and report a two-sided p-value.

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Description: A new test is proposed that may be better or worse than the standard test. To assess their relative efficacy, a pilot study is conducted where both tests are used on the same subjects and compared with the true diagnosis. Let + = correct assessment,

Assuming p1 and p2 to be the proportion of correct classification by standard test and new test…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A new test is proposed that may be better or worse than the standard test. To assess their relative efficacy, a pilot study is conducted where both tests are used on the same subjects and compared with the true diagnosis. Let + = correct assessment, − = incorrect assessment. The results are given in Table 10.44.

taBlE 10.44

Standard test

Comparison of two screening tests for Down’s syndrome

standard test	new test	N
+	+	82
+	-	5
-	+	10
-	-	3
		100

Thus, for 82 infants, both tests make the correct classification, for 3 infants both tests make the wrong classification, for 5 infants the standard test makes the correct diagnosis while the new test does not, and for 10 infants the new test makes the correct diagnosis while the standard test does not.

10.125 Perform a hypothesis test to compare the accuracy of the two tests, and report a two-sided p-value.

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