In a survey, 1000 individuals were asked how often they took exercise in the form of cycling. There were three possible responses, namely 'never', 'occasionally' and 'frequently'. A similar question was asked with respect to walking, with the same three possible responses. Of the 1000 individuals, 75 said that they frequently walked and cycled, 10 never walked but cycled frequently, 35 never cycled but walked frequently, and 100 never walked and never cycled. In all, 200 individuals never cycled and 125 never walked, whereas 700 cycled occasionally and 150 walked frequently. (a) Arrange the data in the form of a (3x3) contingency table, and state how many of the 1000 individuals both cycle and walk occasionally. (b) Apply a x² test to the (3×3) table, stating clearly the hypothesis which it is designed to test.

In a survey, 1000 individuals were asked how often they took exercise in the form of cycling. There were three possible responses, namely 'never', 'occasionally' and 'frequently'. A similar question was asked with respect to walking, with the same three possible responses. Of the 1000 individuals, 75 said that they frequently walked and cycled, 10 never walked but cycled frequently, 35 never cycled but walked frequently, and 100 never walked and never cycled. In all, 200 individuals never cycled and 125 never walked, whereas 700 cycled occasionally and 150 walked frequently. (a) Arrange the data in the form of a (3x3) contingency table, and state how many of the 1000 individuals both cycle and walk occasionally. (b) Apply a x² test to the (3×3) table, stating clearly the hypothesis which it is designed to test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU

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