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Life · Guided lesson

Write a statistical claim-audit brief

About 35 minutes · 7 reading + 28 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
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Audit the supplied fictional claim about a reminder app using sampling, summary, conditional-rate, uncertainty, and causal-reasoning tools.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • Identify the claim, population, sample, unit of observation, and sampling limits.
  • Calculate and compare mean, median, absolute change, and relative change where appropriate.
  • Use a natural-frequency table to compute a conditional percentage with the correct denominator.
  • Interpret a supplied confidence interval without treating it as individual variation or certainty.
  • Write a claim verdict that separates supported description from unsupported causation and names needed evidence.

Review and revise

Use these criteria to check your work and choose what to improve.

  • Calculation: quantities and denominators are correct and reproducible.
  • Scope: sample and population claims are distinguished.
  • Uncertainty: intervals and study limits are explained accurately.
  • Judgment: the conclusion is proportional to the evidence and identifies a useful next question.
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Before you begin

The idea in everyday life

You now have several tools for evaluating numerical claims, but not every tool belongs in every paragraph. A good audit chooses the ones relevant to the claim, shows the calculation, and explains its limits. This final brief combines the supplied reminder-app record with a small wait-time summary and a separate flagging example, keeping the datasets distinct.

The idea

A useful audit preserves valid findings while correcting overreach.

Try it

One step at a time.

Use the sample or information you have permission to use. Keep your work as you go. You can pause between steps.

  1. 1

    Assemble the earlier worksheets and label each dataset separately. Use the reminder-app comparison as the main claim and the supplied wait, flag, and interval records as short supporting literacy checks.

  2. 2

    Recompute the app’s absolute and relative changes, the wait-time mean and median, and the proportion of true problems among flags. Show denominators and units beside the calculations.

  3. 3

    Write a sampling and design paragraph identifying different volunteer cohorts, assignment-level counts, and schedule differences. Explain why these limit a population-wide causal conclusion about the app.

  4. 4

    Interpret the supplied 46%–54% support interval against the 50% threshold. Keep that uncertainty statement separate from the app effect because the interval describes a different quantity.

  5. 5

    Finish a one-page audit brief with a supported finding, an unsupported claim, needed evidence, and revised wording. Attach the calculations and state that every record is fictional educational practice.

Example

See how it works.

Fictional audit packet: The app comparison from lesson five has late shares of 20% and 10% in different volunteer cohorts. Five support waits are 2, 2, 3, 3, and 20 minutes, giving a mean of six and median of three. A separate file checker flags 12 actual incomplete files plus 48 complete files, so 20% of flags are true problems. A supplied survey interval of 46%–54% does not establish population support above 50%. Jules reports each result under its own heading, then concludes that the app’s causal claim is unproven despite an observed relative decrease.

Check your work

Did you cover these?

  • The app changes are ten percentage points and 50% relative.
  • Wait mean is six minutes and median is three.
  • The flag share is 20%, and the support interval crosses 50%.
Your work

What to finish

The completed statistical claim-audit brief with calculations, uncertainty interpretation, and a qualified verdict.

Common mistake

Watch for this

Combining unrelated datasets into one impressive-looking statistic or rejecting all evidence because one claim overreaches.

How can I tell I understand it?

Your verdict separates accurate description from unsupported scope or cause and identifies what could change the conclusion.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1Support waits are 1, 2, 2, 5, and 15 minutes. Which summary is correct?
2A claim combines a 90% detection rate with a 50% reduction in late assignments from another dataset. What should the audit do?
3Which verdict fits a nonrandom comparison with fewer late assignments after app use?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
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Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

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Tools, templates, and lesson sources

Tools and templates

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Sources and further reading

Explore the references behind this lesson.

OpenStax, Introductory Statistics 2e: Data, Sampling, and Variation
Source & access notes · checked 2026-09-10

Opened sampling methods, data types, and variation discussion. Supports identifying sample design and scope; no book examples are reused.

Access: Free public reading; no account or purchase required.

Reuse: Linked for further study. Life Starter explanations, scenarios, and assessments are original; free access alone does not grant reuse rights.

OpenStax, Introductory Statistics 2e: Measures of the Center of the Data
Source & access notes · checked 2026-09-10

Opened the section on mean and median. All wait-time datasets in this course are original.

Access: Free public reading; no account or purchase required.

Reuse: Linked for further study. Life Starter explanations, scenarios, and assessments are original; free access alone does not grant reuse rights.

OpenStax, Introductory Statistics 2e: Experimental Design and Ethics
Source & access notes · checked 2026-09-10

Opened design, response/explanatory variables, and lurking-variable discussion. Course language avoids the source’s overly absolute phrasing about randomization guaranteeing equal groups or proving causation.

Access: Free public reading; no account or purchase required.

Reuse: Linked for further study. Life Starter explanations, scenarios, and assessments are original; free access alone does not grant reuse rights.

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