The Diagnostic and Statistical Manual of Mental Disorders, (DSM) is the American

Question

The Diagnostic and Statistical Manual of Mental Disorders, (DSM) is the American Psychiatric Association's (APA) classification and diagnostic tool. When the Fourth Edition (DSM-4), published in 1994 replaced the DSM-3 (published in 1987), researchers wondered if the percent of children diagnosed with mental disorders according to the newer edition would differ from the percent diagnosed using the old edition. A 1999 study found that 343 of 1886 children were diagnosed with DSM-4 disorders. Is this significantly higher than 17.6% Conduct an appropriate test.

Explanation / Answer

we will check the test for 0.05 significance level

the null hypothesis = HO= P =0.176

THE ALTERNATE HYPOTHESIS = Ha = p>0.176

the p = 343/1886 = 0.182

z stat = (0.182-0.176)/sqrt(0.176*0.824/1886)) = 0.68

as the z stat = 0.68<1.96

therefore we will not reject the null hypothesis

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