# Question: A single observation of a random variable having a geometric

A single observation of a random variable having a geometric distribution is used to test the null hypothesis Î¸ = Î¸0 against the alternative hypothesis Î¸ = Î¸1 > Î¸0. If the null hypothesis is rejected if and only if the observed value of the random variable is greater than or equal to the positive integer k, find expressions for the probabilities of type I and type II errors.

## Answer to relevant Questions

A single observation of a random variable having an exponential distribution is used to test the null hypothesis that the mean of the distribution is Î¸ = 2 against the alternative that it is Î¸ = 5. If the null hypothesis ...With reference to Exercise 13.9, use Table II on page 492 to find values corresponding to k0.025 and k'0.025 to test the null hypothesis Î» = 3.6 against the alternative hypothesis Î» â‰ 3.6 on the basis of five ...Use the formula of Exercise 13.16 to recalculate x2 for Example 13.10. According to the norms established for a reading comprehension test, eighth graders should average 84.3 with a standard deviation of 8.6. If 45 randomly selected eighth graders from a certain school district averaged 87.8, ...A study of the number of business lunches that executives in the insurance and banking industries claim as deductible expenses per month was based on random samples and yielded the following results: n1 = 40 x1 = 9.1 s1 = ...Post your question