Math 2311 EMCF Homework 11 Sections 8.1 - 8.2 Honework will NOT be accepted through email or in person. Homework must be submitted through CourseWare, https://www.casa.uh.edu, before the deadline. Submit this assignment on CourseWare under \"EMCF\" and choose ehw11. 1. The hypothesis being tested is the ______________. a. b. c. d. e. P-value Level of significance Null hypothesis Alternate hypothesis None of these 2. A t test is used instead of a z test because a. b. c. d. e. f. the population the population the population the population the population None of these standard deviation is known. mean is known. mean is unknown. size is unknown. variance is unknown. 3. The probability that we would get our observed result if the null hypothesis were true is the _______. a. b. c. d. e. P-value Level of significance Null hypothesis Alternate hypothesis None of these 4. A test is _____________ if we are interested only in deviations from the null in one direction. a. b. c. d. e. Two-sided One-sided Significant Null None of these 5. A test is _____________ if we are interested in any deviation from the null. a. b. c. d. e. Two-sided One-sided Significant Null None of these 1 6. Suppose a test of the hypotheses in a question produces a p-value of 0.01. The correct action would be to a. b. c. d. Reject Accept Fail to reject Accept with reservations 7. If the null hypothesis is rejected when it is true, a ______________ error has occurred. a. b. c. d. e. Power Type I Type II Type III None of these 8. Failing to reject the null hypothesis when it is false is a ____________ error. a. b. c. d. e. Power Type I Type II Type III None of these 9. A one-sided significance test gives a p-value of .04. From this we can a. b. c. d. e. Reject the null hypothesis with 99% confidence. Reject the null hypothesis with 96% confidence. Say that the probability that the null hypothesis is false is .04. Say that the probability that the null hypothesis is true is .04. None of these 6 2. The test statistic is z = 1.40. 10. A significance test was performed to test H0 : = 2 versus Ha : = What is the p-value for this test? a. b. c. d. e. 0.92 0.42 0.08 0.16 none of these 11. A manufacturer of balloons claims that p, the proportion of its balloons that burst when inflated to a diameter of up to 12 inches, is no more than 0.05. Some customers have complained that the balloons are bursting more frequently. If the customers want to conduct an experiment to test the manufacturer's claim, which of the following hypotheses would be appropriate? a. b. c. d. e. f. Ho: p = 0.05, Ho: p = 0.05, Ho: p < 0.05, Ho: p 6= 0.05, Ho: p = 0.05, None of these Ha: Ha: Ha: Ha: Ha: p p p p p 6= < = = > 0.05 0.05 0.05 0.05 0.05 2 12. The one-sample t statistic for a test of H0 : = 10 vs. Ha : < 10 based on n = 10 observations has a test statistic with the value t = 2.25. What is the p-value of this test? a. b. c. d. e. 0.974 0.026 0.051 0.255 none of these 13. Which of the following is not an assumption needed to perform a hypothesis test on a single mean using a z test statistic? a. b. c. d. e. An SRS of size n from the population. Known population standard deviation, . Either a normal population or a large sample (n 30). The population must be at least 10 times the size of the sample. All are needed. 14. When the test statistic falls outside of the rejection region on a hypothesis test, we a. b. c. d. e. Reject the null hypothesis Fail to reject the null hypothesis Accept the null hypothesis Look for more evidence to reject the null hypothesis None of these 15. What are the conditions that need to be satisfied for a one-sample significance test involving a population proportion? a. The sample must be an SRS from the population of interest. b. The population must be at least 10 times the size of the sample. c. The number of successes and the number of failures must each be at least 10 (both n p 10 and n(1 p) 10). d. All of the above e. None of the above 3