Suppose 50% of the adult American population believes that the amount of tax(federal, state, property, sales, and so on) they pay is too high. In a study, a random sample of 1,200 adult Americans are obtained, and the number of people, (x), who say they pay too much tax is recorded.(a) Explain why this study is a binomial experiment.(b) What is the expected number of people who say their tax is too high in random samples of 1,200 adultAmericans?(c) Compute the standard deviation of this binomial random variable x.(d) Find and interpret the probability that in such a random sample between 590 and 610, inclusive, say thatthey pay too much tax.(e) Would it be unusual to find 640 stating they feel the amount of tax they pay is too high in such a randomsample? Why
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.
Suppose 50% of the adult American population believes that the amount of tax
(federal, state, property, sales, and so on) they pay is too high. In a study, a random sample of 1,200 adult Americans are obtained, and the number of people, (x), who say they pay too much tax is recorded.
(a) Explain why this study is a binomial experiment.
(b) What is the expected number of people who say their tax is too high in random samples of 1,200 adult
Americans?
(c) Compute the standard deviation of this binomial random variable x.
(d) Find and interpret the probability that in such a random sample between 590 and 610, inclusive, say that
they pay too much tax.
(e) Would it be unusual to find 640 stating they feel the amount of tax they pay is too high in such a random
sample? Why
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
