document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247403>Question 247403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A department store manager claims that at least 45% of persons who visited this store make a purchase.  In a sample of 400 persons who visited the store 150 made a purchase.  Test the manager’s claim at the 3% significance level.\r<BR>\n" );
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document.write( "a.State the null and alternate hypothesis.<BR>\n" );
document.write( "b. Determine the rejection region for the decision rule. <BR>\n" );
document.write( "c. which equation listed below would you use?<BR>\n" );
document.write( "d. Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis.  Provide a one sentence answer.\r<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 #180503 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=180503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A department store manager claims that at least 45% of persons who visited this store make a purchase. In a sample of 400 persons who visited the store 150 made a purchase. Test the manager’s claim at the 3% significance level. <BR>\n" );
document.write( "a.State the null and alternate hypothesis.<BR>\n" );
document.write( "Ho: p >= 0.45 (Claim)<BR>\n" );
document.write( "H1: p < 0.45 <BR>\n" );
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document.write( "sample proportion = 150/400 = 0.375<BR>\n" );
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document.write( "test statistic: z(0.375) = (0.375-0.45)/sqrt[0.45*0.55/400] = -3.0151...<BR>\n" );
document.write( "critical value for left-tail test with alpha = 3%: z = -1.8808<BR>\n" );
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document.write( "Since the test stat value is in the reject interval, reject Ho.<BR>\n" );
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document.write( "b. Determine the rejection region for the decision rule.<BR>\n" );
document.write( "critical value for left-tail test with alpha = 3%: z = -1.8808<BR>\n" );
document.write( "The reject interval is all z-values less than -1.8808<BR>\n" );
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document.write( "c. which equation listed below would you use?<BR>\n" );
document.write( "The equations are not listed.<BR>\n" );
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document.write( "d. Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis. Provide a one sentence answer.<BR>\n" );
document.write( "Answered above.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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