An engineer uses Brand A air filter to keep fermenters sterile during operation. Brand X filters have success rate of 0.90, so 90% of the fermentations are not contaminated. The researcher would like to test a new air filter, Brand Y, and compare its probability of success with Brand X. Out of 120 test fermentations made using Brand Y only 9 were contaminated. Perform a hypothesis test to decide if probability of success of Brand Y is significantly higher than that of Brand X, use α = 0.01.
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.
An engineer uses Brand A air filter to keep fermenters sterile during operation. Brand X filters have success rate of 0.90, so 90% of the fermentations are not contaminated. The researcher would like to test a new air filter, Brand Y, and compare its
Step by step
Solved in 2 steps
