According to a recent Gallup poll, about 5% of Americans polled say they are vegetarian (abstaining from eating meat). This number has not changed since the poll done in 2012. If I ask a random group of 750 Americans if they vegetarian or not, what is the chance that 45 or more will say that they are vegetarian? 1. Use the binomial distribution on Geogebra (or your calculator) to solve this problem, show your work on paper (what you are putting into technology) 2. Use the normal approximation to the binomial to solve this same problem. Show your work on paper (what you are putting into technology)
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.
According to a recent Gallup poll, about 5% of Americans polled say they are vegetarian (abstaining from eating meat). This number has not changed since the poll done in 2012.
If I ask a random group of 750 Americans if they vegetarian or not, what is the chance that 45 or more will say that they are vegetarian?
1. Use the binomial distribution on Geogebra (or your calculator) to solve this problem, show your work on paper (what you are putting into technology)
2. Use the normal approximation to the binomial to solve this same problem. Show your work on paper (what you are putting into technology)
Given p= 0.05, n=750
X ~ B ( n, p)
X ~ B( 750, 0.05)
therefore Mean,
=
= 37.5
Standard deviation,
= 5.96
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