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<name>What is the confidence interval of an estimate?</name>
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  <md:created>2006/03/02 15:02:11.284 US/Central</md:created>
  <md:revised>2006/03/05 19:59:22.014 US/Central</md:revised>
  <md:authorlist>
      <md:author id="Petrina_Mangala">
      <md:firstname>Petrina</md:firstname>
      
      <md:surname>Mangala</md:surname>
      <md:email>petrinamangala@yahoo.co.uk</md:email>
    </md:author>
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    <md:maintainer id="Petrina_Mangala">
      <md:firstname>Petrina</md:firstname>
      
      <md:surname>Mangala</md:surname>
      <md:email>petrinamangala@yahoo.co.uk</md:email>
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<content>
<section id="id4434951">
<name>What is the confidence interval of an estimate?</name>
<para id="id7607173">The confidence interval of an estimate is the
range where the true value is most likely to be. It is NOT the
variability of the true value or of any other value between the 
<link src="http://cnx.org/GroupWorkspaces/wg412/module.2006-03-02.1394641665/module_view">
confidence limits</link>. It merely gives an estimated range of
values that is likely to include the true value. Confidence
intervals are calculated so that a certain percentage of the
intervals include the unknown value. This percentage is known as
the confidence level and is usually at 95%, but percentages of 90%,
99%, 99.9% may also be used to calculate the confidence interval
for the unknown value. The confidence level is the probability
value associated with a confidence interval, which is often
expressed as a percentage. </para>
<para id="id7607113"><term>Example:</term>  </para>
<para id="element-854">Suppose you use a variance of 4
for a sample population with a confidence level of 95%. If you ask
a question and 47% percent of your sample picks an answer, you can
be certain that if you had asked the question of the entire
relevant population, between 43% (47-4) and 51% (47+4) would have
picked that answer. Therefore, the confidence interval in this case
is the range between 43% and 51%.</para><para id="id7707786"><term>Exercise:</term> </para>
<para id="element-489">An opinion poll predicted that, if
the election were held today, the Conservative party would win 60%
plus or minus 3% of the vote. The Poll master attached a 95%
confidence level to this opinion. What is the confidence interval
for the Conservative party? 
<link src="http://cnx.org/GroupWorkspaces/wg412/module.2006-03-02.8143723337/module_view">
Answer</link></para><para id="id7463613"><term>References:</term></para>
<para id="id4521628">V. Easton, J. Macoll, Statistics glossary:
Confidence intervals, 
<link src="http://www.cas.lancs.ac.uk/glossary_v1.1/confint.html#confinterval">
http://www.cas.lancs.ac.uk/glossary_v1.1/confint.html#confinterval</link>,
last accessed 22 February 2006 .Sample size terminology, The survey system, <link src="http://www.surveysystem.com/sscalc.htm#terminology">
http://www.surveysystem.com/sscalc.htm#terminology</link>,
last accessed 22 February 2006 

</para>
<para id="element-983"><term>Further reading:</term></para><para id="id3401814">Will G. Hopkins, Generalising to a population:
Confidence limits, 
<link src="http://www.sportsci.org/resource/stats/generalize.html">
http://www.sportsci.org/resource/stats/generalize.html</link></para>
<para id="id7698814">Co-Author: Christopher Chikalimba Gama</para>
</section>
</content>
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