document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199454>Question 1199454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State your decision to the significance test in terms of the null hypothesis.\r<BR>\n" );
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document.write( "According to a recent poll, the percentage of Americans who would vote for the incumbent president is 53%. If a random sample of 100 people in New York results in 45% who would vote for the incumbent, test the claim that the percentage of people in New York who would vote for the incumbent president is different from 53%. Use the following results and a 0.10 significance level to state your decision about  H0.\r<BR>\n" );
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document.write( "Test statistic: z = -1.60    p-value = 0.1090 </SPAN>\n" );
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document.write( "Null Hypothesis = H0<BR>\n" );
document.write( "Alternative Hypothesis = H1\r<BR>\n" );
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document.write( "H0: p = 0.53<BR>\n" );
document.write( "H1: p =/= 0.53\r<BR>\n" );
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document.write( "In words:<BR>\n" );
document.write( "Null: The percentage who voted for the incumbent was 53%<BR>\n" );
document.write( "Alternative: The percentage who voted for the incumbent was NOT 53%\r<BR>\n" );
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document.write( "After doing the hypothesis test, you arrive at a p-value of roughly 0.1090<BR>\n" );
document.write( "This is larger than the significance level alpha = 0.10\r<BR>\n" );
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document.write( "Recall the following rule:<BR>\n" );
document.write( "If the p-value is smaller than alpha, then reject the null.<BR>\n" );
document.write( "A handy phrase to remember is \"If the p-value is low, then the null must go\".\r<BR>\n" );
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document.write( "Since the p-value 0.1090 is NOT smaller than alpha = 0.10, we do not reject the null. We fail to reject it. We therefore \"accept\" the null and conclude that p = 0.53 until future evidence will overturn it.\r<BR>\n" );
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document.write( "Conclusion: 53% of American voters selected the incumbent. <BR>\n" );
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