18. H0: No association between age and preference H1 : is an association between age and preference O E O-E 20 35 -15 6.428 40 42 2 0.095 80 63 17 4.587 30 15 15 15.000 20 18 2 0.222 10 27 -17 10.703 37.037 Test statistic = 37:037 χ2 5% critical value, df = (2 1)(3 1) = 2, from tables 5:991 – – χ2= Reject H0 Evidence to suggest that age and preference are associated (would also reject at 1% and 0.1% levels) More under-21s and less over-35s than expected appear to dislike the design. 19.
18. H0: No association between age and preference H1 : is an association between age and preference O E O-E 20 35 -15 6.428 40 42 2 0.095 80 63 17 4.587 30 15 15 15.000 20 18 2 0.222 10 27 -17 10.703 37.037 Test statistic χ2 = 37:037 5% critical value, df = (2 – 1)(3 – 1) = 2, from tables χ2= 5:991 Reject H0 Evidence to suggest that age and preference are associated (would also reject at 1% and 0.1% levels) More under-21s and less over-35s than expected appear to dislike the design. 19.
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