Page 1 of 27
CNSL 503 MODULE 6: 2026 EXAM PREP
(STATISTICS | PORTAGE LEARNING) COMPLETE
(150) CURRENT TESTING QUESTIONS AND
CORRECT ANSWERS WITH DETAILED
EXPLANATIONS|GUARANTEED PASS.
CNSL
Prepare for the CNSL 503 Module 6 Exam Prep (Statistics | Portage
Learning) with practice questions covering statistical analysis,
probability, data interpretation, hypothesis testing, research methods,
and quantitative reasoning. This study guide helps reinforce essential
statistics concepts and supports effective exam preparation. Designed
to improve analytical thinking and boost confidence in understanding
statistical applications. Suitable for counseling, psychology, and social
science students.
MULTIPLE CHOICE.
Section 1: Basic Concepts & Hypothesis Testing (Questions 1–
20)
1. What is the null hypothesis (H₀) in a study examining whether a new counseling
intervention reduces anxiety scores compared to a control group?
• Answer: There is no difference in anxiety scores between the intervention group
and the control group.
• • • Rationale: H₀ always states no effect, no difference, or no
relationship. Any observed difference is due to sampling error.
2. If a researcher sets α = 0.05, what is the probability of making a Type I error?
• Answer: 5%
• • Rationale: Alpha (α) is the preset probability of rejecting a true null
hypothesis (Type I error).
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3. A study fails to reject H₀ when H₀ is actually false. What type of error occurred?
• • Answer: Type II error (β)
• • Rationale: Type II error is failing to detect a true effect.
4. Define statistical power.
• • Answer: The probability of correctly rejecting a false null hypothesis (1 –
β).
• • Rationale: Power is the ability to detect an effect when one truly exists.
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5. Which of the following increases statistical power?
a) Decreasing sample size
b) Increasing α from 0.01 to 0.05
c) Using a two-tailed test instead of one-tailed
d) Increasing measurement error
• • Answer: b) Increasing α from 0.01 to 0.05
• • Rationale: Larger alpha increases the rejection region, boosting power.
Larger n and larger effect sizes also increase power.
6. A p-value of 0.03 means:
• • Answer: If H₀ is true, the probability of obtaining the observed result (or
more extreme) is 3%.
• • Rationale: p-value is not the probability that H₀ is true; it is conditional on
H₀ being true.
7. For a one-tailed test, the critical region is placed in:
• • Answer: One tail of the sampling distribution.
• • Rationale: Directional hypothesis requires all α in one tail.
8. A researcher finds p = 0.07 with α = 0.05. The correct decision is:
• • Answer: Fail to reject H₀.
• • Rationale: p > α, so result is not statistically significant.
9. The central limit theorem states that:
• • Answer: The sampling distribution of the sample mean approaches
normality as n increases, regardless of population distribution.
• • Rationale: Essential for parametric tests even with non-normal
populations when n is large.
CNSL 503 MODULE 6: 2026 EXAM PREP
(STATISTICS | PORTAGE LEARNING) COMPLETE
(150) CURRENT TESTING QUESTIONS AND
CORRECT ANSWERS WITH DETAILED
EXPLANATIONS|GUARANTEED PASS.
CNSL
Prepare for the CNSL 503 Module 6 Exam Prep (Statistics | Portage
Learning) with practice questions covering statistical analysis,
probability, data interpretation, hypothesis testing, research methods,
and quantitative reasoning. This study guide helps reinforce essential
statistics concepts and supports effective exam preparation. Designed
to improve analytical thinking and boost confidence in understanding
statistical applications. Suitable for counseling, psychology, and social
science students.
MULTIPLE CHOICE.
Section 1: Basic Concepts & Hypothesis Testing (Questions 1–
20)
1. What is the null hypothesis (H₀) in a study examining whether a new counseling
intervention reduces anxiety scores compared to a control group?
• Answer: There is no difference in anxiety scores between the intervention group
and the control group.
• • • Rationale: H₀ always states no effect, no difference, or no
relationship. Any observed difference is due to sampling error.
2. If a researcher sets α = 0.05, what is the probability of making a Type I error?
• Answer: 5%
• • Rationale: Alpha (α) is the preset probability of rejecting a true null
hypothesis (Type I error).
, Page 2 of 27
3. A study fails to reject H₀ when H₀ is actually false. What type of error occurred?
• • Answer: Type II error (β)
• • Rationale: Type II error is failing to detect a true effect.
4. Define statistical power.
• • Answer: The probability of correctly rejecting a false null hypothesis (1 –
β).
• • Rationale: Power is the ability to detect an effect when one truly exists.
, Page 3 of 27
5. Which of the following increases statistical power?
a) Decreasing sample size
b) Increasing α from 0.01 to 0.05
c) Using a two-tailed test instead of one-tailed
d) Increasing measurement error
• • Answer: b) Increasing α from 0.01 to 0.05
• • Rationale: Larger alpha increases the rejection region, boosting power.
Larger n and larger effect sizes also increase power.
6. A p-value of 0.03 means:
• • Answer: If H₀ is true, the probability of obtaining the observed result (or
more extreme) is 3%.
• • Rationale: p-value is not the probability that H₀ is true; it is conditional on
H₀ being true.
7. For a one-tailed test, the critical region is placed in:
• • Answer: One tail of the sampling distribution.
• • Rationale: Directional hypothesis requires all α in one tail.
8. A researcher finds p = 0.07 with α = 0.05. The correct decision is:
• • Answer: Fail to reject H₀.
• • Rationale: p > α, so result is not statistically significant.
9. The central limit theorem states that:
• • Answer: The sampling distribution of the sample mean approaches
normality as n increases, regardless of population distribution.
• • Rationale: Essential for parametric tests even with non-normal
populations when n is large.
