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  <title>Collaborative Statistics: Solution Sheets: Hypothesis Testing: Single Mean and Single Proportion</title>
  <metadata xmlns:md="http://cnx.rice.edu/mdml/0.4">
  <!-- WARNING! The 'metadata' section is read only. Do not edit below.
       Changes to the metadata section in the source will not be saved. -->
  <md:content-id>m17134</md:content-id>
  <md:title>Collaborative Statistics: Solution Sheets: Hypothesis Testing: Single Mean and Single Proportion</md:title>
  <md:version>1.6</md:version>
  <md:created>2008/06/27 14:41:02 GMT-5</md:created>
  <md:revised>2009/02/19 14:54:04.357 US/Central</md:revised>
  <md:authorlist>
    <md:author id="sdean">
        <md:firstname>Susan</md:firstname>
        <md:surname>Dean</md:surname>
        <md:fullname>Susan Dean</md:fullname>
        <md:email>deansusan@deanza.edu</md:email>
    </md:author>
    <md:author id="billowsky">
        <md:firstname>Barbara</md:firstname>
        <md:surname>Illowsky</md:surname>
        <md:fullname>Dr. Barbara Illowsky</md:fullname>
        <md:email>illowskybarbara@deanza.edu</md:email>
    </md:author>
  </md:authorlist>
  <md:maintainerlist>
    <md:maintainer id="sdean">
        <md:firstname>Susan</md:firstname>
        <md:surname>Dean</md:surname>
        <md:fullname>Susan Dean</md:fullname>
        <md:email>deansusan@deanza.edu</md:email>
    </md:maintainer>
    <md:maintainer id="billowsky">
        <md:firstname>Barbara</md:firstname>
        <md:surname>Illowsky</md:surname>
        <md:fullname>Dr. Barbara Illowsky</md:fullname>
        <md:email>illowskybarbara@deanza.edu</md:email>
    </md:maintainer>
    <md:maintainer id="cnxorg">
        <md:firstname/>
        <md:surname>Connexions</md:surname>
        <md:fullname>Connexions</md:fullname>
        <md:email>cnx@cnx.org</md:email>
    </md:maintainer>
  </md:maintainerlist>
  <md:license href="http://creativecommons.org/licenses/by/2.0/"/>
  <md:licensorlist>
    <md:licensor id="MaxfieldFoundation">
        <md:firstname/>
        <md:surname>Maxfield Foundation</md:surname>
        <md:fullname>Maxfield Foundation</md:fullname>
        <md:email>cnx@cnx.org</md:email>
    </md:licensor>
  </md:licensorlist>
  <md:keywordlist>
    <md:keyword>elementary</md:keyword>
    <md:keyword>hypothesis</md:keyword>
    <md:keyword>mean</md:keyword>
    <md:keyword>proportion</md:keyword>
    <md:keyword>sheet</md:keyword>
    <md:keyword>single</md:keyword>
    <md:keyword>solution</md:keyword>
    <md:keyword>statistics</md:keyword>
    <md:keyword>test</md:keyword>
  </md:keywordlist>
  <md:subjectlist>
    <md:subject>Mathematics and Statistics</md:subject>
  </md:subjectlist>
  <md:abstract>This module provides a solution sheet for the Hypothesis Testing: Single Mean and Single Proportion chapter of the Collaborative Statistics textbook/collection.</md:abstract>
  <md:language>en</md:language>
  <!-- WARNING! The 'metadata' section is read only. Do not edit above.
       Changes to the metadata section in the source will not be saved. -->
</metadata>
<featured-links>
  <!-- WARNING! The 'featured-links' section is read only. Do not edit below.
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    <link-group type="supplemental">
      <link url="Solution Sheets-Hypothesis Testing for Single Mean and Single Proportion.doc" strength="3">Download handout (.doc)</link>
      <link url="Solution Sheets-Hypothesis Testing for Single Mean and Single Proportion.pdf" strength="3">Download handout (.pdf)</link>
    </link-group>
  <!-- WARNING! The 'featured-links' section is read only. Do not edit above.
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</featured-links>
<content>
    <para id="id46712476">Class Time:</para>
    <para id="id46712482">Name:</para>
    
    <list id="id46712495" list-type="labeled-item" mark-suffix="."><item><label>a</label><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:msub><m:mi>H</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>o</m:mi></m:mrow></m:mstyle></m:msub></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{H rSub { size 8{o} } } {}</m:annotation></m:semantics></m:math>: </item>
      <item><label>b</label><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:msub><m:mi>H</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>a</m:mi></m:mrow></m:mstyle></m:msub></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{H rSub { size 8{a} } } {}</m:annotation></m:semantics></m:math>: </item>
      <item><label>c</label>In words, <emphasis>CLEARLY</emphasis> state what your random variable
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mover accent="true"><m:mi>X</m:mi><m:mo>¯</m:mo></m:mover></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{ {overline  {X}} } {}</m:annotation></m:semantics></m:math> or 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:mi>P</m:mi><m:mi>'</m:mi></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{P'} {}</m:annotation></m:semantics></m:math> represents.</item>
      <item><label>d</label>State the distribution to use for the test. </item>
      <item><label>e</label>What is the test statistic? </item>
      <item><label>f</label>What is the 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>p</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{p} {}</m:annotation></m:semantics></m:math>-value? In 1 – 2 complete sentences, explain what the <m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>p</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{p} {}</m:annotation></m:semantics></m:math>-value means for this problem. </item>
      <item><label>g</label>Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>p</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{p} {}</m:annotation></m:semantics></m:math>-value. <figure id="id13552252"><media id="id13552256" alt=""><image src="wave.PNG" mime-type="image/png"/></media></figure></item>

      <item><label>h</label>Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using <emphasis>complete sentences</emphasis>.

<list id="list1" list-type="labeled-item" mark-suffix="."><item><label>i</label>Alpha:</item>
      <item><label>ii</label>Decision:</item>
      <item><label>iii</label>Reason for decision: </item>
      <item><label>iv</label>Conclusion: </item></list></item>


      <item><label>i</label>Construct a 95% Confidence Interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the Confidence Interval.<figure id="id13552369"><media id="id13552374" alt=""><image src="wave.PNG" mime-type="image/png"/></media></figure></item>
    
    
    </list>
    
    
    
    
    
    
    
  </content>
</document>
