This document contains a quiz with 15 multiple choice questions about statistical hypothesis testing concepts such as: - Critical values and rejection regions for one-tailed and two-tailed tests - Symbols used to represent null and alternative hypotheses - Directionality of hypotheses - Interpreting graphical representations of rejection regions The questions cover topics like determining the appropriate alternative hypothesis, critical value, and rejection region given a hypothesis testing situation. The answer key is provided to check responses.

1. QUIZ
MODULE 8

2. 1. When the confidence level is
90%, a is _____.
A. 0.01
B. 0.05
C. 0.10
D. 0.50

3. A. P > 65
B. P < 65 D. P < 0.65
2. Which is alternative hypothesis for the
following statement? ”more than 65% of the
student are fluent Filipino language speakers.”
C. P > 0.65

4. 3. Which of the following situations is
directional?
A. A teacher wants to know if listening to popular music affect
the performance of the pupils.
B. The principal claims that more than 30% of grade 4 students
are in favor of staying in the playground after classes.
C. The owner of a factory that sells a particular bottled juice
drink claims that the content of his product is 250ml.
D. There is enough evidence to conclude that the percentage of
students who are in favor of the new uniform is different from
85%.

5. 4. Which of the following is the critical value if the level
of significance is 0.01 tailed to the right?
A. 2.330
B. 2.325
C. 2.320
D. 2.315

6. 5. It is the range of the values of the test value which
indicates that there is significant difference and that
the null hypothesis (Ho) should be rejected.
A. Critical value
B. Rejection region
C. Level of significance
D. Non-rejection or acceptance
region

7. 6. What graphical model is appropriate for
decision-making?
A. Bell shape
B. test statistic
C. normal curve
D. Graphical representation

8. 7. It separates the rejection region from
the acceptance region.
A. Critical value
B. Rejection region
C. Acceptance region
D. level of significance

9. 8. Which of the following terms does NOT
describe a left-tailed rejection region?
A. lower
B. worsened
C. decreased
D. influences

10. 9. Which of the following terms does NOT
describe a non-directional rejection
region?
A. at most
B. Effective
C. Different
D. not the same as

11. 10. A farmer believes that using organic
fertilizer on his plants will yield a greater
income. His income increased by 20% fro
last year. State the alternative hypothesis
in symbols.
A. Ha: p < 0.02
B. Ha: p > 0.02
C. Ha: p > 0.20
D. Ha: p < 0.20

12. 11. Which of the following represents
the critical value?
A. Cv
B. Ccom
C. Ztab
D. Zcom

13. 12. What is the critical value(s) for a
left-tailed test with a = 0.01 level of
significance?
A. -2.325
B. -1.960
C. -1.645
D. -1.285

14. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would
rather spend their extra money for internet access loads
than food. Another researcher would like to verify this
claim. She randomly selected 400 students. Among them,
296 said that they would rather use their extra money for
internet access loads than food. Answer the following
question to determine if there is enough evidence to
conclude that the percentage of students who would want
to spend their extra money in internet access loads than
food is different from 75% at 0.05 level of significance
13.Which of the following represents the alternative hypothesis?
A. Ha : p > 0.75
B. Ha : p < 0.75
C. Ha : p ≠ 0.75
D. Ha : p = 0.75

15. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would
rather spend their extra money for internet access loads
than food. Another researcher would like to verify this claim.
She randomly selected 400 students. Among them, 296 said
that they would rather use their extra money for internet
access loads than food. Answer the following question to
determine if there is enough evidence to conclude that the
percentage of students who would want to spend their extra
money in internet access loads than food is different from
75% at 0.05 level of significance
14. Which of the following is the critical value?
A. ± 2.325
B. ± 1.960
C. ± 1.645
D. ± 1.245

16. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would rather
spend their extra money for internet access loads than food.
Another researcher would like to verify this claim. She
randomly selected 400 students. Among them, 296 said that
they would rather use their extra money for internet access
loads than food. Answer the following question to determine if
there is enough evidence to conclude that the percentage of
students who would want to spend their extra money in
internet access loads than food is different from 75% at 0.05
level of significance
15. Which of the following shows the appropriate rejection
region?
A. -2.325
B. -1.960
C. -1.285
D. -1.645

17. ANSWER KEY

18. 1. When the confidence level is
90%, a is _____.
A. 0.01
B. 0.05
C. 0.10
D. 0.50

19. 1. When the confidence level is
90%, a is _____.
A. 0.01
B. 0.05
C. 0.10
D. 0.50

20. A. P > 65
B. P < 65 D. P < 0.65
2. Which is alternative hypothesis for the
following statement? ”more than 65% of the
student are fluent Filipino language
speakers.”
C. P > 0.65

21. A. P > 65
B. P < 65 D. P < 0.65
2. Which is alternative hypothesis for the
following statement? ”more than 65% of the
student are fluent Filipino language
speakers.”
C. P > 0.65

22. 3. Which of the following situations is
directional?
A. A teacher wants to know if listening to popular music affect
the performance of the pupils.
B. The principal claims that more than 30% of grade 4 students
are in favor of staying in the playground after classes.
C. The owner of a factory that sells a particular bottled juice
drink claims that the content of his product is 250ml.
D. There is enough evidence to conclude that the percentage of
students who are in favor of the new uniform is different from
85%.

23. 3. Which of the following situations is
directional?
A. A teacher wants to know if listening to popular music affect
the performance of the pupils.
B. The principal claims that more than 30% of grade 4 students
are in favor of staying in the playground after classes.
C. The owner of a factory that sells a particular bottled juice
drink claims that the content of his product is 250ml.
D. There is enough evidence to conclude that the percentage of
students who are in favor of the new uniform is different from
85%.

24. 4. Which of the following is the critical value if the level of
significance is 0.01 tailed to the right?
A. 2.330
B. 2.325
C. 2.320
D. 2.315

25. 4. Which of the following is the critical value if the level of
significance is 0.01 tailed to the right?
A. 2.330
B. 2.325
C. 2.320
D. 2.315

26. 5. It is the range of the values of the test value which
indicates that there is significant difference and that the null
hypothesis (Ho) should be rejected.
A. Critical value
B. Rejection region
C. Level of significance
D. Non-rejection or acceptance
region

27. 5. It is the range of the values of the test value which
indicates that there is significant difference and that the null
hypothesis (Ho) should be rejected.
A. Critical value
B. Rejection region
C. Level of significance
D. Non-rejection or acceptance
region

28. 6. What graphical model is appropriate for
decision-making?
A. Bell shape
B. test statistic
C. normal curve
D. Graphical representation

29. 6. What graphical model is appropriate for
decision-making?
A. Bell shape
B. test statistic
C. normal curve
D. Graphical representation

30. 7. It separates the rejection region from the
acceptance region.
A. Critical value
B. Rejection region
C. Acceptance region
D. level of significance

31. 7. It separates the rejection region from the
acceptance region.
A. Critical value
B. Rejection region
C. Acceptance region
D. level of significance

32. 8. Which of the following terms does NOT
describe a left-tailed rejection region?
A. lower
B. worsened
C. Decreased
D. influence

33. 8. Which of the following terms does NOT
describe a left-tailed rejection region?
A. lower
B. worsened
C. Decreased
D. influence

34. 9. Which of the following terms does NOT
describe a non-directional rejection
region?
A. at most
B. Effective
C. Different
D. not the same as

35. 9. Which of the following terms does NOT
describe a non-directional rejection
region?
A. at most
B. Effective
C. Different
D. not the same as

36. 10. A farmer believes that using organic
fertilizer on his plants will yield a greater
income. His income increased by 20% fro
last year. State the alternative hypothesis
in symbols.
A. Ha: p < 0.02
B. Ha: p > 0.02
C. Ha: p > 0.20
D. Ha: p < 0.20

37. 10. A farmer believes that using organic
fertilizer on his plants will yield a greater
income. His income increased by 20% fro
last year. State the alternative hypothesis
in symbols.
A. Ha: p < 0.02
B. Ha: p > 0.02
C. Ha: p > 0.20
D. Ha: p < 0.20

38. 11. Which of the following represents
the critical value?
A. Cv
B. Ccom
C. Ztab
D. Zcom

39. 11. Which of the following represents
the critical value?
A. Cv
B. Ccom
C. Ztab
D. Zcom

40. 12. What is the critical value(s) for a
left-tailed test with a = 0.01 level of
significance?
A. -2.325
B. -1.960
C. -1.645
D. -1.285

41. 12. What is the critical value(s) for a
left-tailed test with a = 0.01 level of
significance?
A. -2.325
B. -1.960
C. -1.645
D. -1.285

42. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would rather
spend their extra money for internet access loads than food.
Another researcher would like to verify this claim. She randomly
selected 400 students. Among them, 296 said that they would
rather use their extra money for internet access loads than food.
Answer the following question to determine if there is enough
evidence to conclude that the percentage of students who would
want to spend their extra money in internet access loads than
food is different from 75% at 0.05 level of significance
13.Which of the following represents the alternative hypothesis?
A. Ha : p > 0.75
B. Ha : p < 0.75
C. Ha : p ≠ 0.75
D. Ha : p = 0.75

43. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would rather
spend their extra money for internet access loads than food.
Another researcher would like to verify this claim. She randomly
selected 400 students. Among them, 296 said that they would
rather use their extra money for internet access loads than food.
Answer the following question to determine if there is enough
evidence to conclude that the percentage of students who would
want to spend their extra money in internet access loads than
food is different from 75% at 0.05 level of significance
13.Which of the following represents the alternative hypothesis?
A. Ha : p > 0.75
B. Ha : p < 0.75
C. Ha : p ≠ 0.75
D. Ha : p = 0.75

44. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would rather
spend their extra money for internet access loads than food.
Another researcher would like to verify this claim. She randomly
selected 400 students. Among them, 296 said that they would
rather use their extra money for internet access loads than food.
Answer the following question to determine if there is enough
evidence to conclude that the percentage of students who would
want to spend their extra money in internet access loads than
food is different from 75% at 0.05 level of significance
14. Which of the following is the critical value?
A. ± 2.325
B. ± 1.960
C. ± 1.645
D. ± 1.245

45. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would rather
spend their extra money for internet access loads than food.
Another researcher would like to verify this claim. She randomly
selected 400 students. Among them, 296 said that they would
rather use their extra money for internet access loads than food.
Answer the following question to determine if there is enough
evidence to conclude that the percentage of students who would
want to spend their extra money in internet access loads than
food is different from 75% at 0.05 level of significance
14. Which of the following is the critical value?
A. ± 2.325
B. ± 1.960
C. ± 1.645
D. ± 1.245

46. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would rather
spend their extra money for internet access loads than food.
Another researcher would like to verify this claim. She randomly
selected 400 students. Among them, 296 said that they would
rather use their extra money for internet access loads than food.
Answer the following question to determine if there is enough
evidence to conclude that the percentage of students who would
want to spend their extra money in internet access loads than food
is different from 75% at 0.05 level of significance
15. Which of the following shows the appropriate rejection
region?
A. -2.325
B. -1.960
C. -1.285
D. -1.645

47. For no. 13-15, refer to the situation below.
A researcher claims that 75% of college students would rather
spend their extra money for internet access loads than food.
Another researcher would like to verify this claim. She randomly
selected 400 students. Among them, 296 said that they would
rather use their extra money for internet access loads than food.
Answer the following question to determine if there is enough
evidence to conclude that the percentage of students who would
want to spend their extra money in internet access loads than food
is different from 75% at 0.05 level of significance
15. Which of the following shows the appropriate rejection
region?
A. -2.325
B. -1.960
C. -1.285
D. -1.645