# Question

A single observation of a random variable having a hypergeometric distribution with N = 7 and n = 2 is used to test the null hypothesis k = 2 against the alternative hypothesis k = 4. If the null hypothesis is rejected if and only if the value of the random variable is 2, find the probabilities of type I and type II errors.

## Answer to relevant Questions

The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modification in the chemical composition of her paint, the manufacturer wants to test the null hypothesis µ = 20 ...Rework Example 12.3 with (a) β = 0.03; (b) β = 0.01. 12.38. Example 12.3 With reference to Example 12.2, determine the minimum sample size needed to test the null hypothesis µ0 = 10 against the alternative hypothesis ...The times to failure of certain electronic components in accelerate environment tests are 15, 28, 3, 12, 42, 19, 20, 2, 25, 30, 62, 12, 18, 16, 44, 65, 33, 51, 4, and 28 minutes. Looking upon these data as a random sample ...For k = 2, show that the θ2 formula on page 369 can be written as In the test of a certain hypothesis, the P-value corresponding to the test statistic is 0.0316. Can the null hypothesis be rejected at the (a) 0.01 level of significance; (b) 0.05 level of significance; (c) 0.10 level of ...Post your question

0