Question

Intermediate Statistics

In a study of the accuracy of fast food drive through orders, one restaurant had 34 orders that were not accurate among 388 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%..

1. Does the accuracy rate appear to be acceptable? what is the conclusion of this hypothesis test.

2. What is the null and alternative hypothesis for this test?

3.  

Answer 1

The null and alternate hypothesis are:

The test statistic value is given by:

Since this is a two-tailed test, so the p-value is given by:

Since p-value is greater than 0.05, so we do not have sufficient evidence to reject the null hypothesis
H0.

Thus we can say that