document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109047>Question 1109047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Several years&#8203; ago, 41&#8203;% of parents who had children in grades&#8203; K-12 were \r<BR>\n" );
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document.write( "satisfied with the quality of education the students receive. A recent poll\r<BR>\n" );
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document.write( "were asked 1,105 parents who have children in grades&#8203; K-12 if they were \r<BR>\n" );
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document.write( "satisfied with the quality of education the students receive. Of the 1,105 &#8203;\r<BR>\n" );
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document.write( "surveyed, 456 indicated that they were satisfied. Construct a 90&#8203;% confidence\r<BR>\n" );
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document.write( "interval to assess whether this represents evidence that&#8203; parents' attitudes\r<BR>\n" );
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document.write( " toward the quality of education have changed.\r<BR>\n" );
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document.write( "What are the null and alternative&#8203; hypotheses? <BR>\n" );
document.write( "The Answer Is [Upper H 0&#8203;: p= 0.41 versus H 1&#8203;: p  is not equal 0.41]\r<BR>\n" );
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document.write( "How do you find what the lower bound number is and what the upper bound number is if the confidence interval 90&#8203;% . (Please show steps , especially if using TI-84 Calculator)<BR>\n" );
document.write( "The lower bound is = <BR>\n" );
document.write( "The upper bound is =\r<BR>\n" );
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document.write( "&#8203;(Round to two decimal places as&#8203; needed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724104 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=724104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Several years&#8203; ago, 41&#8203;% of parents who had children in grades&#8203; K-12 were <BR>\n" );
document.write( "satisfied with the quality of education the students receive.<BR>\n" );
document.write( "-------------------- <BR>\n" );
document.write( "A recent poll were asked 1,105 parents who have children in grades&#8203; K-12 if they were satisfied with the quality of education the students receive. Of the 1,105 &#8203; <BR>\n" );
document.write( "surveyed, 456 indicated that they were satisfied.<BR>\n" );
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document.write( "Construct a 90&#8203;% confidence interval to assess whether this represents evidence that&#8203; parents' attitudes toward the quality of education have changed. <BR>\n" );
document.write( "What are the null and alternative&#8203; hypotheses? <BR>\n" );
document.write( "The Answer Is [Upper H 0&#8203;: p= 0.41 versus H 1&#8203;: p is not equal 0.41] \r<BR>\n" );
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document.write( "How do you find what the lower bound number is and what the upper bound number is if the confidence interval 90&#8203;% . (Please show steps , especially if using TI-84 Calculator)<BR>\n" );
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document.write( "A 90% CI is centered at p or at u.<BR>\n" );
document.write( "Each of the tails is 5%.<BR>\n" );
document.write( "The boundary z-value of the left tail is as follows::<BR>\n" );
document.write( "(Using TI-84+)<BR>\n" );
document.write( "2nd DIST<BR>\n" );
document.write( "invNorm(0.05) = -1.645<BR>\n" );
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document.write( "Because of symmetry the boundary of the right tail is +1.645<BR>\n" );
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document.write( "Now find the corresponding proportion values::<BR>\n" );
document.write( "(Using TI-84+)<BR>\n" );
document.write( "Lower boundary = 0.41-1.645*sqrt(0.41*0.59/1105) = 0.3857<BR>\n" );
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document.write( "The upper bound is = 0.41+1.645*sqrt(0.41*0.59/1105) = 0.4343<BR>\n" );
document.write( "&#8203;(Round to two decimal places as&#8203; needed.)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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