A fabric manufacturer believes that the proportion of orders for raw material arriving late is p = 0.6. If a random sample of 10 orders shows that 3 or fewer arrived late, the hypothesis that p = 0.6 should be rejected in favor of the alternative p < 0.6. Use the binomial distribution. (a) Find the probability of committing a type I error if the true proportion is p = 0.6. (b) Find the probability of committing a type II error for the alternatives p = 0.3, p = 0.4, and p = 0.5.?
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 fabric manufacturer believes that the proportion of orders for raw material arriving late is p = 0.6.
If a random sample of 10 orders shows that 3 or fewer arrived late, the hypothesis that p = 0.6 should be
rejected in favor of the alternative p < 0.6. Use the binomial distribution.
(a) Find the
(b) Find the probability of committing a type II error for the alternatives p = 0.3, p = 0.4, and p = 0.5.?
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