In the past 10 years, the prevalence of peanut allergies has doubled in Western countries. Is consumption or avoidance of peanuts in infants related to the development of peanut allergies in infants at risk? Subjects included infants between four and 11 months with severe eczema, egg allergy, or both but who did not display a preexisting sensitivity to peanuts based on a skin-prick test. The infants were randomly assigned to either a treatment that avoided consuming peanut protein or a treatment in which at least 6 grams of peanut protein were consumed per week. The response was the presence or absence of peanut allergy at 60 months of age. In the avoidance group containing 263 infants, 36 had developed a peanut allergy at 60 months of age, while in the consumption group containing 266 infants, five had developed a peanut allergy. George Du Toit et al., "Randomized trial of peanut consumption in infants at risk for peanut allergy," New England Journal of Medicine, 372 (2015), pp. 803-813. Give the plus four 99% confidence interval for the difference in the probabilities of developing a peanut allergy for the avoidance and consumption treatments (PA - Pc). Give your answers to two decimal places. lower bound: upper bound: % %

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In the past 10 years, the prevalence of peanut allergies has doubled in Western countries. Is consumption or avoidance of
peanuts in infants related to the development of peanut allergies in infants at risk? Subjects included infants between four and
11 months with severe eczema, egg allergy, or both but who did not display a preexisting sensitivity to peanuts based on a
skin-prick test. The infants were randomly assigned to either a treatment that avoided consuming peanut protein or a
treatment in which at least 6 grams of peanut protein were consumed per week. The response was the presence or absence of
peanut allergy at 60 months of age. In the avoidance group containing 263 infants, 36 had developed a peanut allergy at 60
months of age, while in the consumption group containing 266 infants, five had developed a peanut allergy.
George Du Toit et al., "Randomized trial of peanut consumption in infants at risk for peanut allergy," New England Journal of Medicine, 372 (2015), pp. 803-813.
Give the plus four 99% confidence interval for the difference in the probabilities of developing a peanut allergy for the avoidance
and consumption treatments (PA - Pc). Give your answers to two decimal places.
lower bound:
upper bound:
%
%
Transcribed Image Text:In the past 10 years, the prevalence of peanut allergies has doubled in Western countries. Is consumption or avoidance of peanuts in infants related to the development of peanut allergies in infants at risk? Subjects included infants between four and 11 months with severe eczema, egg allergy, or both but who did not display a preexisting sensitivity to peanuts based on a skin-prick test. The infants were randomly assigned to either a treatment that avoided consuming peanut protein or a treatment in which at least 6 grams of peanut protein were consumed per week. The response was the presence or absence of peanut allergy at 60 months of age. In the avoidance group containing 263 infants, 36 had developed a peanut allergy at 60 months of age, while in the consumption group containing 266 infants, five had developed a peanut allergy. George Du Toit et al., "Randomized trial of peanut consumption in infants at risk for peanut allergy," New England Journal of Medicine, 372 (2015), pp. 803-813. Give the plus four 99% confidence interval for the difference in the probabilities of developing a peanut allergy for the avoidance and consumption treatments (PA - Pc). Give your answers to two decimal places. lower bound: upper bound: % %
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