Answer:
The claim that he rate of inaccurate orders is equal to 10% is supported by statistical evidnece at 5% level
Step-by-step explanation:
Given that in a study of the accuracy of fast food drive-through orders, one restaurant had 34 orders that were not accurate among 371 orders observed.
Sample proportion [tex]p=0.092\\q=1-p = 0.908\\n = 371[/tex]
[tex]H_0: p =0.10\\H_a: p \neq 0.10[/tex]
(Two tailed test at 5% significance level)
p difference = [tex]0.092-0.100\\=-0.0084[/tex]
Std error if H0 is true = [tex]\sqrt{\frac{0.1(0.9)}{371} } \\=0.016[/tex]
Test statistic Z = p diff/std error
=0.539
p value = 0.5899
Since p > 0.05 accept null hypothesis
The claim that he rate of inaccurate orders is equal to 10% is supported by statistical evidnece at 5% level