document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194389>Question 1194389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of students was selected at random from all<BR>\n" );
document.write( "ninth-grade students in a large school district. The<BR>\n" );
document.write( "proportion of the students in the sample who were<BR>\n" );
document.write( "14 years old was 80%, with an associated margin of<BR>\n" );
document.write( "error of 5%. Which of the following is NOT a plausible<BR>\n" );
document.write( "number of 14-year-olds in the 3,601 ninth-grade<BR>\n" );
document.write( "students in the school district? <BR>\n" );
document.write( "A) 2,750<BR>\n" );
document.write( "B) 2,900<BR>\n" );
document.write( "C) 3,050<BR>\n" );
document.write( "D) 3,200 </SPAN>\n" );
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document.write( "It is claimed that 80% of the ninth graders are 14 years old.<BR>\n" );
document.write( "We're also told that there's a margin of error of 5%\r<BR>\n" );
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document.write( "What this means is that the lowest the percentage can go is 80-5 = 75%<BR>\n" );
document.write( "while the highest it can go is 80+5 = 85%\r<BR>\n" );
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document.write( "The percentage of 14-year-olds is between 75% and 85%\r<BR>\n" );
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document.write( "75% of 3601 = 0.75*3601 = 2700.75 which rounds to 2701<BR>\n" );
document.write( "85% of 3601 = 0.85*3601 = 3060.85 which rounds to 3061\r<BR>\n" );
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document.write( "The number of 14-year-olds is between 2701 and 3061<BR>\n" );
document.write( "This includes the following values<BR>\n" );
document.write( "A) 2,750<BR>\n" );
document.write( "B) 2,900<BR>\n" );
document.write( "C) 3,050<BR>\n" );
document.write( "since all three of these values are in the interval mentioned.\r<BR>\n" );
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document.write( "Only D) 3,200 is not between 2701 and 3061\r<BR>\n" );
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document.write( "Answer: <font color=red>D) 3,200</font><BR>\n" );
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