Question

The following information applies to questions 12-14. A random sample of n = 625 electronic components manufactured by a certain process are tested, and 48 are found to be defective. Let p represent the proportion of components manufactured by this process that are defective. The process engineer claims that p is less than 10%. Set up an appropriate test to check if the engineer’s claim is justified.

12. What are the null and the alternative hypotheses?

(A) H0 : p = 0.10 H1 : p 6!= 0.10

3

(B) H0 : p <= 0.10 H1 : p > 0.10

(C) H0 : p >= 0.10 H1 : p < 0.10

(D) H0 : p < 0.10 H1 : p >= 0.10

(E) H0 : p > 0.10 H1 : p <= 0.10

13. Which of the following intervals contains the p-value?

(A) (0.005,0.01) (B) (0.01,0.025) (C) (0.025,0.05) (D) (0.05,0.1)

(E) None of these

14. Is the null hypothesis rejected at the alpha = 5% significance level?

(A) YES (B) NO

Answer 1

625一 625一 Z一一1.93