document.write( "Question 1147799: You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.16. You use a significance level of
\n" ); document.write( "α=0.005\r
\n" ); document.write( "\n" ); document.write( "H0: p = 0.16
\n" ); document.write( "H1: p < 0.16\r
\n" ); document.write( "\n" ); document.write( "You obtain a sample of size
\n" ); document.write( "n = 458\r
\n" ); document.write( "\n" ); document.write( " in which there are 64 successes.\r
\n" ); document.write( "\n" ); document.write( "What is the test statistic for this sample? 3 decimal places
\n" ); document.write( "test statistic =\r
\n" ); document.write( "\n" ); document.write( "What is the p-value for this sample? 4 decimal places
\n" ); document.write( "p-value = \n" ); document.write( "

Algebra.Com's Answer #769166 by Boreal(15235) $\"\"$ $\"About$

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p hat is 64/458=0.14
\n" ); document.write( "alpha is 0.05 (suppose) p{reject Ho|Ho true}
\n" ); document.write( "test statistic is z=(phat-po)/sqrt(p*(1-p))/n
\n" ); document.write( "this is -0.02/sqrt(0.16*0.84/458)
\n" ); document.write( "=-1.18 (not rounding p hat)
\n" ); document.write( "fail to reject Ho with p-value of 0.14 (not rounding)
\n" ); document.write( "if 0.14 is used for p hat, the values are -1.17 and 0.12\r
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