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HW 7 - HW 7 Inference on p Comparisons on p and Chi-Square...

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HW 7 Inference on p, Comparisons on p, and Chi-Square - 2x2 Tables 1. 6.42. In a study of human blood types in nonhuman primates, a sample of 71 orangutans were tested and 14 were found to be blood type B. a. Construct a 95% confidence interval for the relative frequency of blood type B in the orangutan population. b. Interpret the interval you just computed in part (a). 2. 6.49(modified). The Luso variety of wheat is resistant to the Hessian fly. In order to understand the genetic mechanism controlling this resistance, an agronomist plans to examine the progeny of a certain cross involving Luso and a nonresistant variety. Each progeny plant will be classified as resistant or susceptible and the agronomist will estimate the proportion of progeny that are resistant. He'd like to report a 95% confidence interval for the proportion of resistant progeny. a. If the researcher believes the proportion of resistant progeny is 0.75, how many progeny does he need to classify in order to guarantee that the standard error of his estimate of this proportion will not exceed .05? b. If the researcher has no idea what the proportion of resistant progeny may be, how many progeny does he need to classify in order to guarantee that the standard error of his estimate of this proportion will not exceed .05? 3. 10.58. Experimental studies of cancer often use strains of animals that have a naturally high incidence of tumors. In one such experiment, tumor prone mice were kept in a sterile environment with one group of mice maintained entirely germ free and the other group of mice exposed to the intestinal bacterium Eschericbia coli .The accompanying table shows the incidence of liver tumors.
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