Question

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. Use a 0.01 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 null and alternative hypotheses for this test?

Answer 1

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 $p=0.092\\q=1-p = 0.908\\n = 371$

$H_0: p =0.10\\H_a: p \neq 0.10$

(Two tailed test at 5% significance level)

p difference = $0.092-0.100\\=-0.0084$

Std error if H0 is true = $\sqrt{\frac{0.1(0.9)}{371} } \\=0.016$

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