# Question: The binomial random variable x may be used as the

The binomial random variable, x, may be used as the test statistic when testing hypotheses about the binomial parameter, p.When n is small (say, 15 or less), Table 2 in Appendix B provides the probabilities for each value of x separately, thereby making it unnecessary to estimate probabilities of the discrete binomial random variable with the continuous standard normal variable z. Use Table 2 to determine the value of a for each of the following:

a. Ho: p = 0.5 and Ha: p_0.5 where n = 15 and the critical region is x = 12, 13, 14, 15

b. Ho: p = 0.3 and Ha: p < 0.3 where n = 12 and the critical region is x = 0, 1

c. Ho: p = 0.6 and Ha: p ≠ 0.6, where n = 10 and the critical region is x = 0 1, 2, 3, 9, 10

d. Ho: p = 0.5 and Ha: p > 0.05, where n = 14 and the critical region is x =4 5, 6, 7, . . . , 14

a. Ho: p = 0.5 and Ha: p_0.5 where n = 15 and the critical region is x = 12, 13, 14, 15

b. Ho: p = 0.3 and Ha: p < 0.3 where n = 12 and the critical region is x = 0, 1

c. Ho: p = 0.6 and Ha: p ≠ 0.6, where n = 10 and the critical region is x = 0 1, 2, 3, 9, 10

d. Ho: p = 0.5 and Ha: p > 0.05, where n = 14 and the critical region is x =4 5, 6, 7, . . . , 14

## Answer to relevant Questions

Use Table 2 in Appendix B to determine the critical region used in testing each of the following hypotheses. a. Ho: p = 0.5 and Ha: p > 0.5 where n = 15 and a = 0.05 b. Ho: p = 0.5 and Ha: p ≠ 0.3 where n = 14 and a = ...A politician claims that she will receive 60% of the vote in an upcoming election. The results of a properly designed random sample of 100 voters showed that 50 of those sampled will vote for her. Is it likely that her ...The following computer output was used to complete a hypothesis test. a. State the null and alternative hypotheses. b. If the test is completed using a = 0.05 what decision and conclusion are reached? c. Verify the ...Using the notation of Exercise 9.120, name and find the critical values of x2. Find the test statistic for the hypothesis test: a. Ho: s2 = 532 versus Ha: σ 2 > 532 using sample information n = 18 and s2 = 785 b. Ho: s2 = 52 versus. Ha: σ 2 ≠ 52 using sample information n = 41 and s2 = 78.2Post your question