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review-on-testing

# This compares to 50 for the 35 44 group 53 for the 45

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Unformatted text preview: ccidents within the state could be the same as the age distribution of all U.S. drivers. Age Group U.S. Drivers Sample of 200 < 25 13.5% 42 25-44 41.4% 80 > 45 45.1% 78 Problem 2 - continued H0: p1 = 0.135, p2 = 0.414, p3 = 0.451 Ha: H0 fails to hold pi fi Ei < 25 13.5% 42 27.0 25-44 41.4% 80 82.8 > 45 45.1% 78 90.2 3 ( fi − Ei )2 χ =∑ Ei i=1 2 ( 42 − 27)2 (80 − 82.8)2 ( 78 − 90.2 )2 = + + 27 82.8 90.2 = 8.333 + 0.095 + 1.650 = 10.078 df = (3 − 1) = 2 Critical − value =5.991 Strong evidence against the null (signiRicant at the 5% level: reject H0 at 5%) Problem 3 In “good news – bad news” settings, researchers report that 83% of women in the 21- 34 age group say they prefer to hear the bad news _irst. This compares to 50% for the 35- 44 group, 53% for the 45- 54 group, and 70% for the 55- or- over group. Test at 1 % level whether news preference is independent of age group, assuming that the researchers worked with independent samples, each consisting of 100 women. Age \ Preference Bad News First Good News First 21-34 83 17 35-44 50 50 45-54 53 47 >55 70 30 Problem 3 - continued Observed counts: Age \ Preference Bad News First Good News First Total 21-34 83 17 100 35-44 50 50 100 45-54 53 47 100 >55 70 30 100 Total 256 144 400 Expected counts: Age \ Preference Bad News First Good News First Total 21-34 64 36 100 35-44 64 36 100 45-54 64 36 100 >55 64 36 100 Total...
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