2. An opinion polls asks adults whether they favor giving parents of school-age children vouchers that can be exchanged for education at any public or private school of their choice. Each school would be paid by the government on the basis of how many vouchers it collected. Suppose that in fact 35% of the population favors this idea. What is the probability that less than 33% of a SRS of 500 adults are in favor of this idea? SHOW YOUR WORK.
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.
Given that 35% of the population favors the idea of giving vouchers to parents of school-age children.
Let X: number of people who accepts the idea
p: probability of acceptance =0.35
Total number of samples n=500
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