MATH 225 WEEK 7 TEST | QUESTIONS AND ANSWERS | 2026 UPDATE | WITH COMPLETE SOLUTIONS - GRADE A+ | RATED 100% CORRECT.

,
, MATH 225 WEEK 7 TEST | QUESTIONS
AND ANSWERS | 2026 UPDATE | WITH
COMPLETE SOLUTIONS - GRADE A+ |
RATED 100% CORRECT.



SECTION 1: HYPOTHESIS TESTING FUNDAMENTALS
(Questions 1-8)




Question 1
A magazine regularly tested products and gave the reviews to its customers.
In one of its reviews, it tested 2 types of batteries and claimed that the
batteries from company A outperformed batteries from company B in 108 of
the tests. There were 200 tests. Company B decided to sue the magazine,
claiming that the results were not significantly different from 50%. What are
the null and alternative hypotheses for this test?

A) H₀: p = 0.50; Hₐ: p ≠ 0.50
B) H₀: p ≤ 0.50; Hₐ: p > 0.50
C) H₀: p ≥ 0.50; Hₐ: p < 0.50
D) H₀: p = 0.54; Hₐ: p ≠ 0.54

Answer: A) H₀: p = 0.50; Hₐ: p ≠ 0.50

Rationale: Company B claims the results were not significantly different from
50%, meaning the proportion is equal to 50%. The alternative is that the
proportion is not equal to 50% (two-tailed test).

Section: Hypothesis Testing - Hypotheses Formulation
Source: MATH 225N Week 7 Hypothesis Testing