MATH 110 Statistics Module 6 Test Exam (100% Correct Answers) Portage Learning

MATH 110 Statistics Module 6 Test Exam (100%
Correct Answers) Portage Learning
MATH 110 Statistics Module 6 Test Exam (100% Correct Answers)
1. In hypothesis testing, the null hypothesis (H₀) is a statement that is:
A) We are trying to find evidence to support.
B) Always about a sample statistic.
C) Assumed to be true until we have evidence to the contrary.
D) The same as the alternative hypothesis.
2. The alternative hypothesis (Hₐ) represents:
A) The status quo or no change.
B) The claim we are seeking evidence for.
C) The probability of a Type I error.
D) The sample mean.
3. A Type I error occurs when we:
A) Reject a true null hypothesis.
B) Fail to reject a false null hypothesis.
C) Reject a false null hypothesis.
D) Fail to reject a true null hypothesis.
4. A Type II error occurs when we:
A) Reject a true null hypothesis.
B) Fail to reject a false null hypothesis.
C) Reject a false null hypothesis.
D) Fail to reject a true null hypothesis.
5. The probability of making a Type I error is denoted by:
A) β (beta)
B) 1 - β
C) α (alpha)
D) p-value

,6. The power of a hypothesis test is defined as:
A) The probability of rejecting H₀ when H₀ is true.
B) The probability of not rejecting H₀ when Hₐ is true.
C) The probability of rejecting H₀ when Hₐ is true.
D) The significance level, α.
7. If a hypothesis test is conducted at a significance level of α = 0.05, what is
the probability of a Type I error?
A) 0.95
B) 0.05
C) 0.50
D) 1.00
8. The p-value is the probability of obtaining a test statistic:
A) At least as extreme as the one observed, assuming H₀ is true.
B) At least as extreme as the one observed, assuming Hₐ is true.
C) Exactly equal to the one observed, assuming H₀ is true.
D) Exactly equal to the one observed, assuming Hₐ is true.
9. If the p-value is less than the significance level α, we:
A) Fail to reject the null hypothesis.
B) Reject the null hypothesis.
C) Accept the null hypothesis.
D) Accept the alternative hypothesis.
10. A two-tailed test is used when the alternative hypothesis contains a:
A) > symbol
B) < symbol
C) = symbol
D) ≠ symbol
11. For a left-tailed test, the rejection region is located in the:
A) Center of the distribution.
B) Right tail of the distribution.
C) Left tail of the distribution.
D) Both tails of the distribution.

, 12. Which of the following is a correct statement of a null and alternative
hypothesis for a right-tailed test?
A) H₀: μ = 10, Hₐ: μ ≠ 10
B) H₀: μ = 10, Hₐ: μ < 10
C) H₀: μ = 10, Hₐ: μ > 10
D) H₀: μ > 10, Hₐ: μ < 10
13. When testing a claim about a population mean with σ known, the
appropriate test statistic follows the:
A) t-distribution
B) Normal distribution (z-distribution)
C) Binomial distribution
D) Chi-square distribution
14. The test statistic for a hypothesis test for a population mean (σ known) is
given by: z = (x̄ - μ) / (σ/√n). The term (σ/√n) is called the:
A) Sample mean
B) Test statistic
C) Standard error of the mean
D) Margin of error
15. For a hypothesis test of a population proportion, the test statistic follows
the:
A) t-distribution
B) Normal distribution (z-distribution)
C) F-distribution
D) Poisson distribution
16. The test statistic for a hypothesis test for a population proportion is given
by: z = (p̂ - p) / √(p(1-p)/n). The symbol p̂ represents:
A) The hypothesized population proportion.
B) The sample proportion.
C) The population mean.
D) The standard error.