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StatisticsDiscussion postHypothesis testing

HLT 3672 Topic 3 DQ 1 hypothesis testing guide

A four-part discussion question on clinical inquiry and hypothesis testing: evaluate hypothesis testing approaches and their application to health care, define dependent and independent variables, describe the evidence used to reject or fail to reject the null hypothesis, and evaluate the relationship between hypothesis testing and confidence intervals.

Editorial process

Last reviewed · August 12, 2026

01

Why do two prompts say 'evaluate'?

Two of these four prompts start with evaluate and two start with define or describe, and the difference is worth real marks. Define and describe are answered by an accurate statement. Evaluate asks you to weigh something against something else and reach a judgement, so prompt one needs a comparison — one-tailed against two-tailed, parametric against non-parametric, superiority against non-inferiority — with a sentence saying when each is the right choice in a health care setting. Answering an evaluate prompt with a definition is the commonest way to lose marks on a discussion question that otherwise looks complete and covers every bullet. Notice too that prompt one says application to health care specifically, so at least one clinical example should appear: a trial comparing thirty-day readmission rates between two discharge protocols, a screening study with a new cut-off, an infection rate measured before and after a hand hygiene intervention.

The variables prompt looks trivial and hides a trap. The independent variable is the one you manipulate or group by — the treatment arm, the protocol in use, the exposure a patient did or did not have. The dependent variable is what you measure — the outcome. Their role in hypothesis testing is that the null hypothesis is a statement about the dependent variable being unaffected by the independent one, so identifying them correctly is what tells you which test applies. That last clause is the part markers look for, because the level of measurement of the dependent variable, together with the number of groups in the independent variable, is what selects a t-test rather than a chi-square rather than an analysis of variance. Give one worked clinical example rather than an abstract restatement, and state the test your example implies so the reasoning is visible rather than left to be inferred.

The last two prompts are more closely linked than they appear, and answering them together produces a stronger post. The evidence for rejecting the null hypothesis is the test statistic and its p-value compared against a pre-set alpha, and the honest version says what a p-value is not: it is not the probability the null is true, and it is not a measure of effect size. Failing to reject is not proof of no difference, which is why an underpowered study is uninformative rather than negative. The confidence interval then carries exactly the same information with more of it visible — if a 95% interval for a difference excludes zero, the test rejects at 0.05 — but the interval also shows the direction and the plausible magnitude, which is why clinical papers increasingly lead with it. Make that link explicitly and the fourth prompt answers itself.

Likely learning objectives

Inferred from the brief — check these against your own rubric.

  • 01
    Answer 'evaluate' prompts with a comparison and a judgement rather than a definition.
  • 02
    Identify independent and dependent variables and use them to select a test.
  • 03
    State what a p-value is and what it is not.
  • 04
    Explain why failing to reject is not evidence of no effect.
  • 05
    Show that a confidence interval carries the test result plus magnitude and direction.
Assignment instructionsQuoted verbatim

Read the full question

Review every instruction before using the planning guidance that follows.

HLT 3672 Topic 3 DQ 1 Clinical Inquiry and Hypothesis Testing 1. Evaluate hypothesis testing approaches and their application to health care. 2. Define dependent and independent variables and their role in hypothesis testing. 3. Describe evidence used to reject or do not reject the null hypothesis. 4. Evaluate the relationship between hypothesis testing and confidence intervals.
02

Turn the brief into deliverables

  1. 01
    An evaluation of hypothesis testing approaches with a health care application.
  2. 02
    Definitions of dependent and independent variables and their role in testing.
  3. 03
    A description of the evidence used to reject or fail to reject the null.
  4. 04
    An evaluation of the relationship between hypothesis testing and confidence intervals.
03

How do the four prompts connect?

01

Hypothesis testing approaches evaluated

Compare one-tailed and two-tailed, parametric and non-parametric, and say when each fits a health care question.

02

Variables and their role

Define both, then show how their type and number select the statistical test, using one clinical example.

03

Evidence for the decision

Alpha set in advance, the test statistic, the p-value, and the correct interpretation of failing to reject.

04

Confidence intervals

Show the equivalence with the test at the same alpha, and what the interval adds about magnitude and precision.

04

Where are the definitions you can rely on?

Recommended databases

  • NCBI Bookshelf / StatPearls
  • Course textbook

Search sequence

  1. 1.
    Read one authoritative source on p-values and intervals together, since the fourth prompt depends on the third.
  2. 2.
    Find a published clinical trial and read its results section for a real example of both.
  3. 3.
    Check a power and error source so the failing-to-reject point is grounded rather than asserted.
  4. 4.
    Draft each prompt separately, then check that the two 'evaluate' answers contain a judgement.
05

Reference shortlist

These are authoritative starting points, not a ready-made bibliography. A qualified reviewer must confirm that each source fits the assignment and supports the claim beside which it is cited.

Nothing here is cleared for citation until you have read it.

  1. 01

    Hypothesis Testing, P Values, Confidence Intervals, and Significance

    StatPearls, NCBI Bookshelf · 2023

    The core definitions for prompts three and four, including the correct reading of a p-value.

  2. 02

    Type I and Type II Errors and Statistical Power

    StatPearls, NCBI Bookshelf · 2023

    Why an underpowered study that fails to reject is uninformative rather than negative.

  3. 03

    Study Bias

    StatPearls, NCBI Bookshelf · 2023

    The design threats that sit behind the choice of variables and the credibility of any test result.

06

Review before submission

Common mistakes

  • Defining hypothesis testing where the prompt asked you to evaluate approaches.
  • Answering prompt one with no clinical example at all.
  • Swapping the independent and dependent variables in the worked example.
  • Describing p as the probability that the null hypothesis is true.
  • Treating a non-significant result as proof of no difference.
  • Presenting confidence intervals as an unrelated fifth topic.

Submission checklist

  • At least two testing approaches compared, with when each applies.
  • One named health care example.
  • A worked example identifying both variables and the test they imply.
  • Alpha, the test statistic and the p-value named as the evidence.
  • An explicit statement of what a p-value does not mean.
  • The interval-to-test link stated directly.
  • Sources cited to course requirements.

Use this guide to plan and review your own work. Follow your institution's rules and read our academic-integrity policy.

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Reviewed by

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Argumentation and thesis development

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