The Humane Society is interested in finding out how many households in America have at least one cat. How many households must be surveyed to be 95% confident that the estimate will be within 4% of the true population percentage?
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.
The Humane Society is interested in finding out how many households in America have at least one cat. How many households must be surveyed to be 95% confident that the estimate will be within 4% of the true population percentage?
The provided information are:
Confidence level = 95% = 0.95
Margin of error (E) = 4% =0.04
From the standard normal table, the z-score at 95% confidence level is 1.96.
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