document.write( "Question 1130703: In a study of the accuracy of fast food drive-through orders, one restaurant had 30 orders that were not accurate among 394 orders observed. Use a 0.10 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? \n" ); document.write( "

Algebra.Com's Answer #747323 by Boreal(15235) $\"\"$ $\"About$

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Ho:rate is 10%
\n" ); document.write( "Ha: rate is not equal to 10%
\n" ); document.write( "alpha=0.10
\n" ); document.write( "test statistic is a one sample proportion z, where z=(phat-p)/sqrt((p*(1-p)/n))
\n" ); document.write( "critical value |z|>1.645
\n" ); document.write( "p hat is 0.076
\n" ); document.write( "z=(p hat-p)/sqrt(p*(1-p)/n)
\n" ); document.write( "=-.024/sqrt (.1*.9/394)=-.024/0.0151
\n" ); document.write( "=-1.59 o-value 0.11
\n" ); document.write( "This is not in the critical region. Fail to reject Ho; there is insufficient evidence to say the accuracy rate is not 10%. Note, the wording of the question uses \"acceptable\" without defining what it is. Does the accuracy rate appear to be fewer than ten per cent? would have been a clearer question. \n" ); document.write( "

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