CORRECT ANSWERS LATEST
UPDATE 2026/2027 GRADED A+ .
80 Questions with Answers and Detailed Rationales
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STT 231 ACTUAL EXAM AND CORRECT ANSWERS LATEST UPDATE 2026/2027 GRADED A+ .. It contains
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accompanied by a correct answer and a detailed rationale that explains the underlying pathophysiology,
pharmacology, or clinical reasoning.
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Review Summary 80 Questions
Foundations - Application - STT 231 Actual AND Correct Update 2026/2027 A STT 231 Actual AND
Correct Update 2026/2027 A University
All answers with rationales
,Table of Contents
Content Area Questions Key Topics
Probability AND Counting 1-14 Treatment, Trial, Interpretation, Accurate, Randomized
Rules
Discrete Probability 15-28 Model, Error, Trial, Difference, Conclusion
Distributions
Normal Probability 29-42 Predictive, Error, Posterior, Prior, Variance
Distributions
Sampling Distributions AND 43-56 Model, Proportional Hazards, Assumption, Ratio, Study
THE Central Limit Theorem
Confidence Intervals FOR 57-70 Ratio, Model, Disease, Appropriate, Relative RISK
Population Means
Hypothesis Testing FOR 71-80 Model, Treatment, Series, Appropriate, Researcher
Population Means
TOTAL 80 All questions include answers and detailed rationales
,Section A - Probability AND Counting Rules
Q1.
In a randomized clinical trial, the estimated treatment effect is 0.30 with a 95% confidence
interval (0.05, 0.55). Which of the following is the most appropriate interpretation?
A. The probability that the true effect lies B. If the study were repeated many times,
between 0.05 and 0.55 is 0.95. 95% of the computed confidence intervals
would contain the true effect.
C. There is a 5% chance that the true effect D. The treatment effect is statistically
is zero or less. significant at the 0.05 level, but the interval
is too wide to be clinically meaningful.
Correct: B - If the study were repeated many times, 95% of the computed confidence
intervals would contain the true effect.
Rationale:A confidence interval is a frequentist construct: in repeated sampling, 95% of such
intervals would capture the true parameter. Option A is a common Bayesian misinterpretation.
Option C incorrectly assigns a probability to a fixed parameter. Option D confuses statistical
significance with clinical meaningfulness; the interval's width does not directly determine
significance.
Why the other answers are wrong:
A. Treats the parameter as random, which is a Bayesian interpretation not applicable to
frequentist CIs.
C. Assumes a posterior probability for the null, which is not provided by a confidence interval.
D. Statistical significance is determined by whether the interval excludes zero, not by its width.
Reference: Altman, D.G. (1991). Practical Statistics for Medical Research, Ch. 8.
Q2.
In a 2×2 contingency table, the chi-square test statistic is 3.84 (df=1). Which of the
following is the most accurate statement regarding the p-value and the test's
assumptions?
A. The p-value is exactly 0.05, and the test B. The p-value is approximately 0.05, and
is valid only if all expected cell counts are at the test is valid only if all observed cell
least 5. counts are at least 5.
C. The p-value is approximately 0.05, and D. The p-value is exactly 0.05, and the test
the test is valid only if all expected cell is valid only if all observed cell counts are at
counts are at least 5. least 5.
Correct: C - The p-value is approximately 0.05, and the test is valid only if all expected cell
counts are at least 5.
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, Section A - Probability AND Counting Rules
Rationale: For df=1, a chi-square value of 3.84 corresponds to a p-value of 0.05 (since 1.96^2
= 3.84). The chi-square approximation relies on expected, not observed, cell counts; the rule
of thumb is that all expected counts should be at least 5.
Why the other answers are wrong:
A. The p-value is not exactly 0.05; it is approximately 0.05 due to the continuous approximation
to the discrete distribution.
B. The assumption applies to expected counts, not observed counts.
D. Both errors: p-value is approximate and assumption is about expected counts.
Reference: Agresti, A. (2013). Categorical Data Analysis, 3rd Ed., Ch. 2.
Q3.
A logistic regression model yields an odds ratio of 2.5 for a binary predictor. Which of the
following is the most accurate interpretation?
A. The probability of the outcome is 2.5 B. The odds of the outcome are 2.5 times
times higher in the exposed group. higher in the exposed group.
C. The risk ratio is 2.5. D. The log-odds of the outcome increase by
2.5 units for the exposed group.
Correct: B - The odds of the outcome are 2.5 times higher in the exposed group.
Rationale:Logistic regression models the log-odds; exponentiating the coefficient yields the
odds ratio, which is the multiplicative change in odds. It is not a probability ratio or risk ratio
unless the outcome is rare. The log-odds increase by log(2.5), not 2.5.
Why the other answers are wrong:
A. Confuses odds with probability; odds ratio does not directly give probability ratio.
C. Odds ratio approximates risk ratio only under rare disease assumption, which is not stated.
D. The log-odds increase by the coefficient (ln 2.5), not by 2.5.
Reference: Hosmer, D.W. & Lemeshow, S. (2000). Applied Logistic Regression, 2nd Ed., Ch. 3.
Q4.
In a one-way ANOVA with three groups, the F-statistic is 3.5. Which of the following is the
most appropriate conclusion?
A. At least one group mean is significantly B. The null hypothesis is rejected, indicating
different from the others at the 0.05 level. all group means are different.
C. The F-test is significant, but post-hoc D. The between-group variability is 3.5 times
tests are needed to identify which groups the within-group variability.
differ.
Correct: C - The F-test is significant, but post-hoc tests are needed to identify which
groups differ.
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