document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115729>Question 1115729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP!....<BR>\n" );
document.write( "identify the type I error and the type II error that corresponds to the given hypothesis.\r<BR>\n" );
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document.write( "The proportion of settled medical malpractice suits is 0.32.<BR>\n" );
document.write( "Which of the following is a type I&#8203; error?<BR>\n" );
document.write( "A.Fail to reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually different from 0.32.<BR>\n" );
document.write( "B.Fail to reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually 0.32.<BR>\n" );
document.write( "C.Reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually different from 0.32.<BR>\n" );
document.write( "D.Reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually 0.32.\r<BR>\n" );
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document.write( "Which of the following is a type II&#8203; error?<BR>\n" );
document.write( "A.Fail to reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually different from 0.32.<BR>\n" );
document.write( "B.Reject the claim that the proportion of settled malpractice suits is 0.32 when the  proportion is actually 0.32.<BR>\n" );
document.write( "C.Fail to reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually 0.32.<BR>\n" );
document.write( "D.Reject the claim that the proportion of settled malpractice suits is 0.32 when the  proportion is actually different from 0.32. </SPAN>\n" );
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document.write( "These two facts should be in your notes:\r<BR>\n" );
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document.write( "Fact: A type I error is when you reject the null hypothesis when it is true. The way I remember it is that when you make a type <font color=blue>one</font> error, you are rejecting the <font color=blue>first</font> hypothesis (the null) when it is true, and of course making a mistake in doing so (hence the term \"error\"). \r<BR>\n" );
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document.write( "Fact: A type II error is when you fail to reject the null and must \"accept\" the null; however, the reality is that the alternative hypothesis was the true hypothesis. So making a type <font color=blue>two</font> error means you effectively reject the <font color=blue>second</font> hypothesis and make a mistake in doing so.\r<BR>\n" );
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document.write( "With that in mind, let's answer the two questions\r<BR>\n" );
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document.write( "First set up the two hypotheses.\r<BR>\n" );
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document.write( "Null Hypothesis:<BR>\n" );
document.write( "H0: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+0.32 ALIGN=MIDDLE  ALT=\"p+=+0.32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In English: \"The proportion of settled malpractice suits is 0.32\"\r<BR>\n" );
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document.write( "Alternative Hypothesis:<BR>\n" );
document.write( "H1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+%3C%3E+0.32 ALIGN=MIDDLE  ALT=\"p+%3C%3E+0.32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In English: \"The proportion of settled malpractice suits is different from 0.32\" (aka not equal to 0.32)\r<BR>\n" );
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document.write( "If you made a type I error, then you reject H0 (the null) and go with the alternative (H1). But the reality is that H0 was the true hypothesis all along.\r<BR>\n" );
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document.write( "So <font color=red>you reject the claim that the proportion of settled malpractice suits is 0.32 when in reality the proportion is 0.32</font>\r<BR>\n" );
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document.write( "This means the answer for the first part is <font color=red>Choice D</font>\r<BR>\n" );
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document.write( "For the second part, the answer is <font color=red>Choice A</font>\r<BR>\n" );
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document.write( "If you make a type II error, then <font color=red>you fail to reject the claim that the proportion of settled malpractice suits is 0.32, when the proportion is actually different from 0.32</font>\r<BR>\n" );
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document.write( "So once again, making a type II error means you go with the null when the alternative is actually the true hypothesis. \r<BR>\n" );
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