Find statistic test and p-value

Question

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

restaurant had 30 orders that were not accurate among 372

orders observed. Use a 0.10 significance leve to 10%. Does the

accuracy rate appear to be acceptable?

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

(Round to two decimal places as needed.)

Identify the P- value for this hypothesis test.

The P-value for this hypothesis test is

Answer 1

Ho: p = 0.1

Ha: p < 0.1

test statistic z = (phat - p)/sqrt(p * (1-p)/n)

where phat = 30/372, p = 0.1 and n = 372

since a left-side test, p-value is :P(z < test statistic z) from standard normal probability table

if p-value < 0.1, the reject Ho and evidence that accuracy rate is less than 10% which is not acceptable, otherwise, do not reject Ho and evidence that accuracy rate is not less than 10 %, which is acceptable.