# Question

For a hypothesis test with a specified significance level a, the probability of a type I error is α, whereas the probability β of a type II error depends on the particular value of p that is used as an alternative to the null hypothesis.

a. Using an alternative hypothesis of p < 0.4, a sample size of n = 50, and assuming that the true value of p is 0.25, find the power of the test. See Exercise 36 in Section 8-2.

b. Find the value of b, the probability of making a type II error.

c. Given the conditions cited in part (a), what do the results indicate about the effectiveness of the hypothesis test?

a. Using an alternative hypothesis of p < 0.4, a sample size of n = 50, and assuming that the true value of p is 0.25, find the power of the test. See Exercise 36 in Section 8-2.

b. Find the value of b, the probability of making a type II error.

c. Given the conditions cited in part (a), what do the results indicate about the effectiveness of the hypothesis test?

## Answer to relevant Questions

Twelve different video games showing alcohol use were observed. The duration times of alcohol use were recorded, with the times (seconds) listed below. What requirements must be satisfied to test the claim that the sample is ...Data Set 11 in Appendix B lists ages of actresses when they won Oscars, and the summary statistics are n = 82, f = 35.9 years, and s = 11.1 years. Use a 0.01 significance level to test the claim that the mean age of ...A clinical trial was conducted to test the effectiveness of the drug Zopiclone for treating insomnia in older subjects. Before treatment with Zopiclone, 16 subjects had a mean wake time of 102.8 min. After treatment with ...Use the systolic blood pressure measurements for females listed in Data Set 1 in Appendix B and test the claim that the female population has a mean systolic blood pressure level less than 120.0 mm Hg. Use a 0.05 ...The Jefferson Valley Bank once had a separate customer waiting line at each teller window, but it now has a single waiting line that feeds the teller windows as vacancies occur. The standard deviation of customer waiting ...Post your question

0