A random sample of 25 computer programmers was selected to compare two full-screen-edit intelligent terminals, one manufactured by vendor A and the other by vendor B. After working with the two types of terminals, each programmer was asked to choose the terminal that he or she preferred. Let y be the number of sampled programmers who prefer the terminal manufactured by vendor A. is y a binomial random variable? If the two terminals are, in fact, identical, then p=0.5. Find p(y³19) If observe y=19, what would you infer about the true value of p?
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.
A random sample of 25 computer programmers was selected to compare two full-screen-edit intelligent terminals, one manufactured by vendor A and the other by vendor B. After working with the two types of terminals, each programmer was asked to choose the terminal that he or she preferred. Let y be the number of sampled programmers who prefer the terminal manufactured by vendor A.
- is y a binomial random variable?
- If the two terminals are, in fact, identical, then p=0.5. Find p(y³19)
- If observe y=19, what would you infer about the true value of p?
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