document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268263>Question 268263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a recent year, some professional baseball players complained that umpires were calling more strikes than the average rate of 61.0% called the previous year. At one point in the season, umpire Dan Morrison called strikes in 2231 of 3581 pitches.\r<BR>\n" );
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document.write( "This is a hypothesis question.  I am really struggling on how to solve these types of questions, if someone can show me step by step how it works with the answer I can do the other 32 questions I have, I just can't seem to get it started. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196641 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a recent year, some professional baseball players complained that umpires were calling more strikes than the average rate of 61.0% called the previous year. At one point in the season, umpire Dan Morrison called strikes in 2231 of 3581 pitches.<BR>\n" );
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document.write( "Note: There are hundreds of examples of worked statistics problems on<BR>\n" );
document.write( "this site.<BR>\n" );
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document.write( "Ho: p = 0.61<BR>\n" );
document.write( "Ha: p > 0.61<BR>\n" );
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document.write( "sample proportion = phat = 2231/3581 = 0.623<BR>\n" );
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document.write( "Critical Value for right-tail test with alpha = 5%: 1.645<BR>\n" );
document.write( "Test Statistic: z(0.623) = (0.623-0.61)/sqrt(0.61*0.39/3581) = 1.5962<BR>\n" );
document.write( "p-value = P(z> 1.5962) = 0.0552<BR>\n" );
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document.write( "Conclusion: Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "Probably you should do more testing also as the decision evidence is<BR>\n" );
document.write( "weak. <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  <BR>\n" );
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