2025/2026 | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document provides the verified exam content for Module 7 of MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It includes 100%
correct answers to questions covering hypothesis testing, p-values, and type I and type II
errors. Graded A+ and aligned with Portage Learning’s online curriculum, this guide offers
essential support for success in introductory statistical coursework.
Section 2: Exam Questions and Answers
Format: Multiple-choice and problem-based questions
Four answer choices per question (A–D)
Correct answer highlighted
Includes brief explanations for key terms and concepts
Question 1
Question: What is the purpose of hypothesis testing?
A) To estimate population parameters
B) To determine if sample data supports a claim
C) To calculate the sample mean
D) To construct confidence intervals
B) To determine if sample data supports a claim
Explanation: Tests evaluate evidence against a null hypothesis.
Question 2
Question: What is the null hypothesis (H₀)?
A) The alternative claim
B) A statement of no effect or no difference
C) The accepted truth
D) The sample statistic
B) A statement of no effect or no difference
Explanation: H₀ assumes the status quo.
Question 3
Question: What does a p-value represent?
A) Probability of rejecting the null
B) Probability of the observed data assuming H₀ is true
C) Confidence level
D) Sample size
, B) Probability of the observed data assuming H₀ is true
Explanation: Measures evidence against H₀.
Question 4
Question: If the p-value is 0.03 and α = 0.05, what decision is made?
A) Fail to reject H₀
B) Reject H₀
C) Accept H₀
D) Increase α
B) Reject H₀
Explanation: p < α, so reject the null.
Question 5
Question: What is a Type I error?
A) Failing to reject a false H₀
B) Rejecting a true H₀
C) Accepting a false H₀
D) Incorrect sample size
B) Rejecting a true H₀
Explanation: Type I error is a false positive (α).
Question 6
Question: What is a Type II error?
A) Rejecting a true H₀
B) Failing to reject a false H₀
C) Incorrect p-value
D) Large confidence interval
B) Failing to reject a false H₀
Explanation: Type II error is a false negative (β).
Question 7
Question: What is the significance level (α) typically set at?
A) 0.01
B) 0.05
C) 0.10
D) Varies by study
B) 0.05
Explanation: Common default for statistical tests.
Question 8
Question: If the test statistic is 2.1 and the critical value is 1.96, what is the decision at α =
0.05?
A) Fail to reject H₀
B) Reject H₀