SOLUTION: In a study of the accuracy of fast food​ drive-through orders, one restaurant had 3636 orders that were not accurate among 306306 orders observed. Use a 0.050.05 significance lev

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Question 1138957: In a study of the accuracy of fast food​ drive-through orders, one restaurant had 3636 orders that were not accurate among 306306 orders observed. Use a 0.050.05 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) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming this is 36 out of 306, which is 11.8%
Ho; p=.10
Ha; pNE=.10
alpha=0.05 p{reject Ho|Ho true}
test stat is a z=(p hat-p)/sqrt (p*(1-p)/n), use 0.1 for p in Ho
=0.018/0.0171
=+1.05
p-value is twice the z-value of 1.05 or 0.2936 or 0.29 (2-tailed test)