Self reported injuries of left and right handed people werecompared of 1896 coll

Question

Self reported injuries of left and right handed people werecompared of 1896 college students. 93 of the 180 left handed students reported an injury 619 of the 1716 right handed students reported an injury Calculate the 95 percent confidence interval for theproportion of students with at least one injury for EACH of the 2subpopulations(1 for right handed, 1 for left handed). Self reported injuries of left and right handed people werecompared of 1896 college students. 93 of the 180 left handed students reported an injury 619 of the 1716 right handed students reported an injury Calculate the 95 percent confidence interval for theproportion of students with at least one injury for EACH of the 2subpopulations(1 for right handed, 1 for left handed).

Explanation / Answer

=0.05, Z(0.025)=1.96 (check normal table) Left handed: p1=93/180 = 0.52, n1=180 Right handed: p2=619/1716=0.36, n2=1716 ------------------------------------------------------------------------ The 95% CI for left handed: p1±Z*p1*(1-p1)/n1 --> 0.52 ± 1.96*sqrt(0.52*(1-0.52)/180) --> (0.447, 0.593) ------------------------------------------------------------------------- The 95% CI for right handed: p2 ±Z*p2*(1-p2)/n2 --> 0.36 ± 1.96*sqrt(0.36*(1-0.36)/1716) --> (0.337, 0.383)

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