a) Construct the 90% confidence interval on the difference between the proportions of defective dishwashers produced at shifts 1 and 2. b) Based on the confidence interval found in part (a), can Vestel claim that the proportion of defective dishwashers is higher at shift 2?
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.
Q3. Vestel wants to compare the proportion of defective dishwashers produced at two different
shifts. From the large number of dishwashers produced in a given week, 50 dishwashers were
chosen from the output of shift 1, and 40 dishwashers were chosen from the output of shift 2.
4 dishwashers are detected to be defective from the output of shift 1 and 6 dishwashers found
out to be defective from the output of shift 2.
a) Construct the 90% confidence interval on the difference between the
proportions of defective dishwashers produced at shifts 1 and 2.
b) Based on the confidence interval found in part (a), can Vestel claim that the
proportion of defective dishwashers is higher at shift 2?
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