document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197267>Question 1197267</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The test statistic is z = 2.33, the critical values are z = +/- 1.96. The decision would be to______.<BR>\n" );
document.write( "Select one:<BR>\n" );
document.write( "a. Support the null hypothesis<BR>\n" );
document.write( "b. Support the alternative hypothesis<BR>\n" );
document.write( "c. Retain the null hypothesis<BR>\n" );
document.write( "d. Reject the null hypothesis </SPAN>\n" );
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document.write( "Answer: <font color=red>d. Reject the null hypothesis</font>\r<BR>\n" );
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document.write( "Reason:<BR>\n" );
document.write( "The critical values are z = +/- 1.96 aka <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%22%22+%2B-+1.96 ALIGN=MIDDLE  ALT=\"z+=+%22%22+%2B-+1.96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This breaks down into z = -1.96 and z = 1.96\r<BR>\n" );
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document.write( "If the test statistic is between those critical values, then we aren't in the rejection region. <BR>\n" );
document.write( "Otherwise if z < -1.96 or z > 1.96, then we are in the rejection region.\r<BR>\n" );
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document.write( "In this case, the test statistic z = 2.33 is to the right of the critical value 1.96<BR>\n" );
document.write( "We're in the rejection region for this two-tailed test and we therefore reject the null.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" width=\"50%\" src = \"https://i.imgur.com/wZIeNdt.png\"><BR>\n" );
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document.write( " </SPAN>\n" );
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