Question

In a study of the accuracy of fast food​ drive-through orders, one restaurant had

33

orders that were not accurate among

384

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?

Identify the test statistic and the P value.

Answer 1

Let , p be the proportion of inaccuracy or inaccuracy rate .

So, we have to test :  

We have n = 384 samples , among those 33 are inaccurate ,

So, sample inaccuracy   

Test statistic :  

where , p₀ = 0.1

So,

p value for both tailed test :

= 2 x 0.179 = 0.358

Note that p value > alpha = 0.10  

So, we don't have enough evidence to reject the NUll.

In other words , The accuracy rate is not acceptable .