Consider a proposed case-control study of autism spectrum disorder (ASD) and maternal boba tea consumption in Irvine. Assume that 20% of Irvine mothers are regular consumers (at least 3 servings per week) of boba tea, and that the prevalence of ASD is 1/59 (making it a somewhat rare disease). Also assume that 50% of Irvine mothers who regularly consume boba tea prefer black milk tea, that the prevalence of regular boba tea consumption among mothers of autistic children is 25%, that each participant will be paid $30 to join the study, and that there are at least 1,000 mothers of autistic children and at least 100,000 mothers of non-autistic children in Irvine who are willing to participate in the study if compensated. If these assumptions are correct, what is the odds ratio describing the association between regular boba tea consumption and ASD? HINT: Recall that the disease odds ratio is equal to the exposure odds ratio.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Consider a proposed case-control study of autism spectrum disorder (ASD) and maternal boba tea consumption in Irvine. Assume that 20% of Irvine mothers are regular consumers (at least 3 servings per week) of boba tea, and that the prevalence of ASD is 1/59 (making it a somewhat rare disease). Also assume that 50% of Irvine mothers who regularly consume boba tea prefer black milk tea, that the prevalence of regular boba tea consumption among mothers of autistic children is 25%, that each participant will be paid $30 to join the study, and that there are at least 1,000 mothers of autistic children and at least 100,000 mothers of non-autistic children in Irvine who are willing to participate in the study if compensated.
If these assumptions are correct, what is the odds ratio describing the association between regular boba tea consumption and ASD? HINT: Recall that the disease odds ratio is equal to the exposure odds ratio.
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