Test whether people with a specific penetic marker are more likely to have sufTe

Question

Test whether people with a specific penetic marker are more likely to have sufTered from clinical depression than people without the genetic marker, using the infornation that 38% of the 42 people in a sample with the genetic marker have had dinical depression while l 3% of the 760 people in the sample without the genetic marker have had clinical depression. whether people with a spethe te mensetie a Use subsripts 1 for yes these people have the genetic marker and 2 for no these people do not have the genetic marker. (a) Find the relevant sample proportions in each group and the pooled proportion. Round yaur answers to three dedmal places, if necessary

Explanation / Answer

its right tailed test

n1 =42

n2 =760

a) p1^=38% =0.380

p2^=13% =0.130

p^= (p1^*n1+p2^n2 ) / (n1+n2 ) = (0.38*42 +0.13*760)/(42+760)=0.1430

c) test statstic =(p1^-p2^)/sqrt(p^(1-p)(1/n1+1/n2))=

                        = (0.38 - 0.13) / sqrt(0.1430(1-0.1430) (1/42 +1/760)

                         =4.505

p value p(z>4.505)=0

donot reject h0

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