Quantitative Methods

Hypothesis Testing practice questions

Hypothesis Testing is part of CFA Level I Quantitative Methods. Quantitative Methods questions emphasize time value of money, probability, sampling, hypothesis testing, regression, and return statistics. Use this page to review the controlling ideas, then work through 7 questions with answer explanations and common traps.

Review the worked explanations before moving into adaptive practice. The app version can mix this topic with due reviews and weak related concepts.

Practice this topic

What to know

Identify the rule, formula, or decision criterion before reading the answer choices. CFA Level I distractors often use the right vocabulary with the wrong condition.

How to practice

Work each item under time pressure, then compare your reasoning with the step-by-step explanation and key takeaway.

Review signal

Missed questions should become scheduled reviews when the error comes from a concept gap, formula setup, or answer-choice trap.

Easy

Quantitative Methods

Hypothesis Testing

At a 5% significance level, a test produces p-value of 0.03. The appropriate decision is to:

View sample
Moderate

Quantitative Methods

Hypothesis Testing

An analyst tests whether a portfolio mean return differs from zero in either direction. The most appropriate alternative hypothesis is:

View sample
Moderate

Quantitative Methods

Hypothesis Testing

A sample mean is 5.4, the hypothesized mean is 4.8, sample standard deviation is 1.8, and sample size is 36. The test statistic is closest to:

View sample
Moderate

Quantitative Methods

Hypothesis Testing

Holding the significance level fixed, a lower Type II error probability implies:

View sample
Very Difficult

Quantitative Methods

Hypothesis Testing

An investment strategy has mean excess return that is statistically significant at the 1% level, but the estimated excess return is 0.02% per year before transaction costs. The most accurate conclusion is that the result is:

View sample
Moderate

Quantitative Methods

Hypothesis Testing

A test of H0: mean return \<= 1.0% versus H1: mean return \> 1.0% uses sample mean 1.4%, sample standard deviation 1.8%, and n = 81. The test statistic is closest to:

View sample
Very Difficult

Quantitative Methods

Hypothesis Testing

For highly non-normal paired before-and-after performance rankings in a small sample, the most appropriate test type is likely:

View sample