document.write( "Question 1055003: Doctors nationally believe that 68% of a certain type of operation are successful. In a particular hospital, 47 of these operations were observed and 37 of them were successful. At = .05, is this hospital's success rate different from the national average?\r
\n" ); document.write( "\n" ); document.write( " A) No, because the test value 0.93 is in the noncritical region.\r
\n" ); document.write( "\n" ); document.write( " B) Yes, because the test value 0.93 is in the critical region.\r
\n" ); document.write( "\n" ); document.write( " C) No, because the test value 1.58 is in the noncritical region.\r
\n" ); document.write( "\n" ); document.write( " D) Yes, because the test value 1.58 is in the noncritical region.
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Algebra.Com's Answer #670199 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
Ho: p = 0.68 (claim)
\n" ); document.write( "Ha: p ≠ 0.68
\n" ); document.write( "sample proportion = p-hat = 37/47 = 0.7872
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\n" ); document.write( "test stat:: z(0.7872) = (0.7872-0.68)/sqrt[0.68*0.32/47] = 1.58
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\n" ); document.write( " At = .05, is this hospital's success rate different from the national average
\n" ); document.write( "C) No, because the test value 1.58 is in the noncritical region ( we do not reject Ho)
\n" ); document.write( "p-value = P(z > 1.58) = 0.057
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