The reputation (and hence, sales) of many businesses can be severely damaged by shipments of manufactured items that contain an unusually large percentage of defectives. For example, a manufacturer of flashbulbs for cameras may want to be reasonably certain that less than 5% of the bulbs are defective. Suppose 300 bulbs are randomly selected from a very large shipment, each is tested, and 10 defective bulbs are found. Does this provide sufficient evidence for the manufacturer to conclude that the fraction defective in the entire shipment is less than 0.05? Use =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.
The reputation (and hence, sales) of many businesses can be severely damaged by shipments of manufactured items that contain an unusually large percentage of defectives. For example, a manufacturer of flashbulbs for cameras may want to be reasonably certain that less than 5% of the bulbs are defective. Suppose 300 bulbs are randomly selected from a very large shipment, each is tested, and 10 defective bulbs are found. Does this provide sufficient evidence for the manufacturer to conclude that the fraction defective in the entire shipment is less than 0.05? Use =0.01.
A |
B |
x1=365 |
x2=352 |
s1=23 |
s2=41 |
Step by step
Solved in 2 steps