Question 6.PR.9: (a) Do the accountants’ job properly for them (see the Oops!...

(a) Do the accountants’ job properly for them (see the Oops! box in the text (page 218)).
(b) It might be justifiable to omit the ‘no responses’ entirely from the calculation. What happens if you do this?

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(a) The correct observed and expected values are

47.0 (54.9) 72.0 (64.1)
86.0 (76.6) 80.0 (89.4)
4.0 (5.5) 8.0 (6.5)

and this yields a \chi^2 value of 5.05 against a critical value of 5.99 (5% significance level, 2 degrees of freedom).
(b) Omitting the non-responses leads to a 2 × 2 contingency table with a test statistic of 4.22, against a critical value of 3.84, yielding a significant result.

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