JSM 2004 - Toronto

Abstract #301851

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Activity Number: 345
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 12:00 PM to 1:50 PM
Sponsor: Section on Statistical Education
Abstract - #301851
Title: Exploiting the Equivalence between Confidence Intervals and Hypothesis Tests in Introductory Statistics Classes
Author(s): Kenneth Constantine*+
Companies: Taylor University
Address: 236 W. Reade Ave., Upland, IN, 46989-1001,
Keywords: pedagogy ; confidence intervals ; tests of hypotheses
Abstract:

We propose a focus for the inference portion of an elementary Statistics course: the equivalence between confidence intervals and tests of hypotheses. This equivalence receives scant attention in introductory texts but seems helpful to beginning students. We advocate that, in order to make this equivalence fully applicable for students, an introductory statistics course ought to include coverage of one-sided confidence intervals. Student reference sheets which employ this equivalence in common inferential settings will be made available. We also acknowledge that the confidence interval-test equivalence is not accessible to beginning students in some inferential settings, e.g., tables for frequency data. Some pedagogical issues relating to classroom implementation will be indicated.

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Revised March 2004