SOLUTION: 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
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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? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Ho:rate is 10%
Ha: rate is not equal to 10%
alpha=0.10
test statistic is a one sample proportion z, where z=(phat-p)/sqrt((p*(1-p)/n))
critical value |z|>1.645
p hat is 0.076
z=(p hat-p)/sqrt(p*(1-p)/n)
=-.024/sqrt (.1*.9/394)=-.024/0.0151
=-1.59 o-value 0.11
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.
