document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192041>Question 1192041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply.\r<BR>\n" );
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document.write( "A. The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis).\r<BR>\n" );
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document.write( "B. It becomes easier to prove that the null hypothesis is true.\r<BR>\n" );
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document.write( "C. The chance of committing a Type II error changes from 0.10 to 0.05.\r<BR>\n" );
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document.write( "D. The chance of committing a Type I error changes from 0.10 to 0.05.\r<BR>\n" );
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document.write( "E. The chance that the null hypothesis is true changes from 0.10 to 0.05.\r<BR>\n" );
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document.write( "F. It becomes harder to prove that the null hypothesis is true.\r<BR>\n" );
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document.write( "G. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis). </SPAN>\n" );
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document.write( "Let's say we get a p-value of 0.07\r<BR>\n" );
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document.write( "At the alpha = 0.10 level, we would reject the null since the p-value is smaller than alpha.\r<BR>\n" );
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document.write( "However, at the alpha = 0.05 level, we don't reject the null since now the p-value is larger than alpha.\r<BR>\n" );
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document.write( "This example shows that lowering the alpha will make it harder to reject the null. This is when we fix the p-value to some constant.\r<BR>\n" );
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document.write( "Recall that alpha represents the probability of a type I error. This is the error that happens when you reject the null, but it turns out the null was true. <BR>\n" );
document.write( "Reducing the type I error means that it's harder to reject the null and we'd need more stringent proof (in the form of a smaller p-value) to be able to reject the null. <BR>\n" );
document.write( "The downside to this of course is when the alternative hypothesis is true and instead you commit a type II error. \r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "<font color=red>Choice B<BR>\n" );
document.write( "Choice D<BR>\n" );
document.write( "Choice G</font><BR>\n" );
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document.write( " </SPAN>\n" );
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