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8. To assess the relationship between low birth weight and asthma, Nepomnyaschy and Reichman obtained a random sample of 1,803 births from 75 hospitals in

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8. To assess the relationship between low birth weight and asthma, Nepomnyaschy and Reichman obtained a random sample of 1,803 births from 75 hospitals in 20 US cities. Births were cross-classified by whether not they were underweight, and whether or not the child was diagnosed with asthma within three years. The following provides the analyses of the resulting data. Here, birth weight (BW) is coded "0" for normal weight and "1" for low birth weight, and asthma is coded "0" for asthma free control, and "1" for asthma case. Key frequency expected frequency Asthma 0 Total 1, 344 287 1 , 631 1, 318 .0 313. 0 1, 631 .0 113 59 172 139.0 33. 0 172 .0 Total 1, 457 346 1 , 803 1, 457 .0 346.0 1 , 803.0 Pearson chi2 ( 1) = 28 . 0011 Pr = 0.000 3 . logistic Asthma BW (fweight = Count] Logistic regression Number of obs 1803 LR chi2 ( 1) 24 . 48 Prob > chi2 0 . 0000 Log likelihood = -869. 37427 Pseudo R2 0 . 0139 Asthma Odds Ratio Std. Err. Z P> |21 [95% Conf. Interval] BW 2. 445068 . 4236891 5. 16 0.000 1. 740973 3. 433917 a. Test the hypothesis that asthma is independent of birth weight at the a = 0. 05 level. Give the results of your test, test statistic, degrees of freedom and p- value. (3 points)

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