MATH 110 Module 6 Exam (Latest-2025) / MATH110 Introduction to Statistics: Portage Learning

5/28/25, 11:05 PM Math 110 - Module 6 Exam




Math 110 - Module 6 Exam
Portage Learning

Question 1

A new drug for migraine headaches has been introduced to the market. You would like to
know if migraine patients prefer the old drug or the new drug. You sample 190 patients who
have used both drugs and find that 52% of the sampled patients prefer the new drug, while
48% prefer the old drug. Find the 90% confidence limit for the proportion of all patients that
prefer the new drug. Can you be 90% confident that a majority of all patients prefer the new
drug?


Answer:

Given:
p = 0.52, n = 190, z = 1.645 (for 90% confidence)


Standard Error (SE) = √[(p(1 - p)) / n]
SE = √[(0.52 × 0.48) / 190]
SE ≈ 0.036


Margin of Error (ME) = z × SE
ME = 1.645 × 0.036
ME ≈ 0.059


Confidence Interval:
Lower Limit = p - ME = 0.52 - 0.059 ≈ 0.461
Upper Limit = p + ME = 0.52 + 0.059 ≈ 0.579


The 90% confidence interval is (0.461, 0.579). Since 0.461 < 0.5, we cannot be 90% conf




Question 2


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