The manufacturer of textile assumes that the proportion of orders for late delivery of raw materials is p=0.7 . If at most 4 arrived late for a random sample of 12, reject the hypothesis that p=0.7 in favor of the alternative hypothesis that p<0.7. Use the binomial distribution. a) Find the probability of committing a type I error if the true proportion is 0.7 b) Find the probability of a type II error for the alternative p=0.6
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 manufacturer of textile assumes that the proportion of orders for late delivery of raw materials is p=0.7 . If at most 4 arrived late for a random sample of 12, reject the hypothesis that p=0.7 in favor of the alternative hypothesis that p<0.7. Use the binomial distribution.
a) Find the
b) Find the probability of a type II error for the alternative p=0.6
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