document.write( "Question 810592: H0: π = .40
\n" );
document.write( "H1: π ≠ .40\r
\n" );
document.write( "\n" );
document.write( "A sample of 120 observations revealed that p = 0.30. At the .05 significance level, can the null hypothesis be rejected?\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "(b)
\n" );
document.write( "Compute the value of the test statistic? \n" );
document.write( "
Algebra.Com's Answer #488246 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! H0: π = .40 \n" ); document.write( "H1: π ≠ .40 \n" ); document.write( "A sample of 120 observations revealed that p = 0.30. At the .05 significance level, can the null hypothesis be rejected? \n" ); document.write( "------- \n" ); document.write( "(b) \n" ); document.write( "Compute the value of the test statistic? \n" ); document.write( "----- \n" ); document.write( "z(0.30) = (0.30-0.40)/sqrt[0.4*0.6/120] = -2.2361 \n" ); document.write( "------ \n" ); document.write( "p-value = 2*p(z<-2.2361) = 2*normalcdf(-100,-2.2361) = 0.0253\r \n" ); document.write( "\n" ); document.write( "----- \n" ); document.write( "Conclusion: \n" ); document.write( "Since the p-value is less than 5%, reject Ho. \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================= \n" ); document.write( " \n" ); document.write( " |