FLOWCHART

Statistical test selection guide

WHAT TYPE OF DATA?

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PROPORTIONS

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DEFINE

p = prop. of families with dogs in New York

Define what p is and what the population of the test is

STATE

1 sample 95% z-interval for proportions

State the inference procedure.

CONDITIONS

Random, Independent, Normal

SRS given in prompt. 10% condition. np ≥ 10. n(1-p) ≥ 10.

CALCULATE

C = {0.5, 0.6}

Use calculator to calculate on multiple choice, show all work in FRQs.

INTERPRET

We are 95% confident the true proportion falls between 0.5 and 0.6.

Follow a similar structure for full credit.

MEANS

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DEFINE

μ = mean number of dogs per family

Define what μ is and what the population of the test is.

STATE

1 sample t-test for means

State the inference procedure. State null and alternative hypotheses for tests.

CONDITIONS

Random, Independent, Normal

SRS given in prompt. 10% condition. CLT or symmetry in boxplot.

CALCULATE

p = 0.006

Use calculator to calculate on multiple choice, show all work in FRQs.

INTERPRET

p = 0.006 < α = 0.05, so we reject H₀. There is convincing evidence...

Follow a similar structure for full credit.

VERIFY CONDITIONS

Before performing any inference procedure, verify that all conditions are met. If conditions are not satisfied, the results may not be valid.