The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 25 - Two Categorical Variables: The Chi-Square Test - Check Your Skills - Page 601: 25.24

Answer

(c).

Work Step by Step

We can get the number of accidental injuries by summing the numbers of the first column: $295+655+239+363=1552$. The number of 14-18 year olds is the sum of the numbers in the second row: $655+916=1571$ The expected count can be obtained by multiplying the two obtained numbers and dividing it by $n$: $\frac{1552\cdot1571}{4111}\approx593.09$ The chi-square subtotals can be obtained by squaring the difference between the observed and the expected frequency, divided by the expected frequency: $X_{sub}^2=\frac{(655-593.09)^2}{593.09}\approx6.463$, thus the answer is (c).
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