For items 9 to 13, refer to the given situation: Hauz of Gaz claims that more than two-thirds of the houses in a certain subdivision use their brand. Is there a reason to doubt this claim if 25 out of a random sample of 40 houses in the subdivision use the company brand? Test the claim at a 0.01 level of significance.
9. What are the null and alternate hypotheses?
A. Ha:p = 0.67; Ho:p ≠ 0.67
B. Ha:p > 0.67; Ho:p ≠ 0.67
C. Ha:p = 0.67; Ho:p = 0.67
D. Ha:p > 0.67; Ho:p = 0.67
10. What type of test is appropriate for this situation?
A. z-test
B. t-test
C. x-test
11. Which of the following are the critical values at α = 0.01?
A. 2.33
B. 2.33
C. +2.33
D. +2.262
12. What is the value of the test statistic?
A. 0.6053
B. 0.6503
C. -0.5590
D. -0.6503
13. Based on the result of the comparison between the critical and computed values, what can be concluded?
A. There is enough evidence to reject the claim that more than two-thirds of the houses in the subdivision use the Hauz of Gaz brand.
B. There is not enough evidence to reject the claim that more than two-thirds of the houses in the subdivision use the Hauz of Gaz brand.
C. Accept the alternative hypothesis.
D. The given information is not enough to make any conclusion.