document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347135>Question 347135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 100 savings accounts at a certain bank showed that 20 were overdrawn. Another sample of 125 current accounts of the bank showed that 30 were overdrawn. Test, at a 0.02 level of significance, the null hypothesis that there is no difference in the proportion of overdrawn accounts.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248356 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=248356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample of 100 savings accounts at a certain bank showed that 20 were overdrawn. Another sample of 125 current accounts of the bank showed that 30 were overdrawn. Test, at a 0.02 level of significance, the null hypothesis that there is no difference in the proportion of overdrawn accounts.\r<BR>\n" );
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document.write( "Ho: p1-p2 = 0<BR>\n" );
document.write( "Ha: p1-p2 is not equal to 0<BR>\n" );
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document.write( "p1-hat = 20/100<BR>\n" );
document.write( "p2-hat = 30/125<BR>\n" );
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document.write( "alpha = 2%<BR>\n" );
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document.write( "I ran a 2-Prop Ztest and got the following:<BR>\n" );
document.write( "test stat: z = -0.7171<BR>\n" );
document.write( "p-value: 0.4733<BR>\n" );
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document.write( "Since the p-value is greater than 2%, fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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