Problem preview

S-ID.5 Warmup M1-053-A14-V02

Summarize two-category data with two-way tables and interpret joint, marginal, and conditional relative frequencies.

Use two-way table evidence to support or reject a claim

Problem

Use this two-way-table evidence to support, reject, or withhold judgment about the claim. Evidence: \(52\%\) of athletes and \(51\%\) of non-athletes passed. Claim: athlete status is strongly associated with passing.

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Support the claim because 52% plus 51% is 103%, which shows athlete status and passing are strongly connected.

Reject the claim because 52% of athletes passed and 51% of non-athletes passed, so the passing rates are nearly the same.

Withhold judgment because percentages alone are not enough, and you would need the total number of students before deciding about association.

Support the claim because athletes passed at a higher rate than non-athletes, and 52% is greater than 51%.

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Curriculum context

Course: Math I
Standard: S-ID.5
Category: Statistics and Probability
Domain: Interpreting Categorical and Quantitative Data
Objective: Summarize two-category data with two-way tables and interpret joint, marginal, and conditional relative frequencies.
Problem type: Use two-way table evidence to support or reject a claim