The following contingency table represents a study to determine if there was a difference in dental patients who had dental restoration using either an amalgam or a composite filling. There is a concern that the amalgam fillings, which contain mercury caused more sensory disorder. Amalgam Composite Sensory disorder 36 38 No sensory disorder 231 239 a. If the patients had an amalgam filling, what is the chance they had sensory disorder? b. If two different patients are randomly selected, what is the chance they both had a composite filling? c. What percent of the patients had an amalgam filling or had sensory disorder? d. What percent of the patients hand a composite filling and had no sensory disorder
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 following
| Amalgam | Composite | |
| Sensory disorder | 36 | 38 |
| No sensory disorder | 231 | 239 |
a. If the patients had an amalgam filling, what is the chance they had sensory disorder?
b. If two different patients are randomly selected, what is the chance they both had a composite filling?
c. What percent of the patients had an amalgam filling or had sensory disorder?
d. What percent of the patients hand a composite filling and had no sensory disorder?
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