A manufacturer claims that the percentage of defective items in his production line is at least 20%. A random sample of 400 items was tested and indicated 22% of defective items.

To perform an appropriate hypothesis test to determine if the manufacturer's claim is supported by the data, which hypotheses should you test?

Select one:

a. H0: p 0.2 vs H1: p < 0.2

b. H0: 0.2 vs H1: < 0.2

c. H0: p 0.22 vs H1: p < 0.22

d. H0: 0.22 vs H1: < 0.22

When performing a hypothesis test there exists the possibility of making errors in our conclusion. There are 2 types of errors and they referred to as Type I error and Type II error.

Which of the following statement is correct for Type I error:

Select one:

a. Type I error occurs when we reject H1 but it is true

b. Type I error occurs when we do not reject H0 when it is true

c. Type I error occurs when we do not reject H1 when it is true

d.We do not need to worry about Type I error

e. Type I error occurs when we reject H0 but it is true