document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047236>Question 1047236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 75% of high school students have seen at least one episode of news. Last month, a random sample of 120 high school students were selected and asked if they had seen at least one episode of news. Out of the 120, 85 of them said they had seen at least one episode. Is there enough evidence to claim the population proportion of all high school student that have watched at least one episode is less than 75% at the 0.05 level of significance?<BR>\n" );
document.write( "a.	Are the requirements met to run a test like this?<BR>\n" );
document.write( "b.	What are the hypotheses for this test?<BR>\n" );
document.write( "c.	Compute the test statistic and the p-value for this test.<BR>\n" );
document.write( "d.	What is your conclusion at the 0.05 level of significance<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #662748 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=662748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "a.	Are the requirements met to run a test like this? n > 30<BR>\n" );
document.write( "b.	What are the hypotheses for this test?<BR>\n" );
document.write( "c.	Compute the test statistic and the p-value for this test.<BR>\n" );
document.write( "d.	What is your conclusion at the 0.02 level of significance<BR>\n" );
document.write( "H0: p = .75 <BR>\n" );
document.write( "H1: p < .75 claim <BR>\n" );
document.write( "sample proportion = p-hat = 85/120 = 0.71 <BR>\n" );
document.write( "test stat:: z(0.71) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.71-0.75%29%2Fsqrt%28%280.75%2A0.25%29%2F120%29 ALIGN=MIDDLE  ALT=\"%280.71-0.75%29%2Fsqrt%28%280.75%2A0.25%29%2F120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -.04/.0395 = -1.0119<BR>\n" );
document.write( "p-value = .1558<BR>\n" );
document.write( ".1558 > .05<BR>\n" );
document.write( "evidence does not support claim  the population proportion of all high school students<BR>\n" );
document.write( " that have watched at least one episode is less than 75% at the 0.05 level of significance.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );