The federal government frequently tests items for defects. A company

manufacturing car components claims that 90% of their components should have no defects

(note: even small scratches are considered defects). The government would like to see of this

is smaller than the company claims. The components are expensive, so only n=10

components were tested, and the number of tested components with no defect was 7 (Hint:

we did an example like this in lecture set 12).

a. What are the appropriate hypotheses for assessing the evidence of this study?

b. Let X be the number of the number of components with no defect. If the null

hypothesis is true, what is the distribution of X?

c. Report the p-value for testing the hypotheses in part a.

d. Based on the p-value above, what do you conclude about the hypotheses for this

study (use a=0.01)?