document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325851>Question 325851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been having a hard time with this problem. Not sure why I dont understand it but if I can get help that would be greatly appreciated.\r<BR>\n" );
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document.write( "Tom\r<BR>\n" );
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document.write( "A Random sample of 600 high school boys showed that 40 had taken diet pills during the past 30 days to lose weight. The researcher wants to test the hypotheses below for p= teh proportion of all high school boys who take diet pills.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H%5B0%5D%29%3A+p+=+0.10 ALIGN=MIDDLE  ALT=\"%28H%5B0%5D%29%3A+p+=+0.10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H%5Ba%5D%29%3A+p+%28equal+with+slash%29+0.10 ALIGN=MIDDLE  ALT=\"%28H%5Ba%5D%29%3A+p+%28equal+with+slash%29+0.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "______________________________________________________________<BR>\n" );
document.write( "1. State the null hypothesis <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H%5B0%5D%29 ALIGN=MIDDLE  ALT=\"%28H%5B0%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and teh alternative hypothesis <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H%5Ba%5D%29 ALIGN=MIDDLE  ALT=\"%28H%5Ba%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in words.\r<BR>\n" );
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document.write( "______________________________________________________________<BR>\n" );
document.write( "2. Verify necessary data conditions for a z-statistic and calculate the z-statistic.\r<BR>\n" );
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document.write( "______________________________________________________________<BR>\n" );
document.write( "3. Assuming the null hypothesis is true, find the p-value.\r<BR>\n" );
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document.write( "______________________________________________________________<BR>\n" );
document.write( "4. Are the results statistically significant at a significance level of &#945; =0.05?\r<BR>\n" );
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document.write( "______________________________________________________________<BR>\n" );
document.write( "5. Report the conlclusion in the context of the situation.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233257 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=233257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Random sample of 600 high school boys showed that 40 had taken diet pills during the past 30 days to lose weight. The researcher wants to test the hypotheses below for p= teh proportion of all high school boys who take diet pills.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H%5B0%5D%29%3A+p+=+0.10 ALIGN=MIDDLE  ALT=\"%28H%5B0%5D%29%3A+p+=+0.10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H%5Ba%5D%29%3A+p+%28equal+with+slash%29+0.10 ALIGN=MIDDLE  ALT=\"%28H%5Ba%5D%29%3A+p+%28equal+with+slash%29+0.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "______________________________________________________________<BR>\n" );
document.write( "1. State the null hypothesis Ho and the alternative hypothesis Ha in words.<BR>\n" );
document.write( "The population proportion is 10%<BR>\n" );
document.write( "The population proportion is not 10%<BR>\n" );
document.write( "______________________________________________________________<BR>\n" );
document.write( "2. Verify necessary data conditions for a z-statistic and calculate the z-statistic.<BR>\n" );
document.write( "phat = 40/600 = 0.0667<BR>\n" );
document.write( "z = (0.0667-0.10)/sqrt[0.1*0.9/600] = -2.7189\r<BR>\n" );
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document.write( "______________________________________________________________<BR>\n" );
document.write( "3. Assuming the null hypothesis is true, find the p-value.<BR>\n" );
document.write( "p-value = 2*P(z< -2.7189) = 0.0065\r<BR>\n" );
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document.write( "______________________________________________________________<BR>\n" );
document.write( "4. Are the results statistically significant at a significance level of <BR>\n" );
document.write( "alpha =0.05?<BR>\n" );
document.write( "Since the p-value is less than 5%, the results are significant at<BR>\n" );
document.write( "a 5% level.<BR>\n" );
document.write( "______________________________________________________________<BR>\n" );
document.write( "5. Report the conlclusion in the context of the situation.<BR>\n" );
document.write( "Reject Ho.  Test results do not support the assumption<BR>\n" );
document.write( "that p = 10%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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