Statistics Multiple Choice Questions (Please select the correct answer for each question) 27. Given: H0: 10, n = 12, = 0.01, and the computed test statistic is 2.394, the p value for the test is _______________________ a. Between 0.02 and 0.01 b. Between 0.025 and 0.01 c. Between 0.05 and 0.02 d. None of the above 28. The ______________ is the smallest level of significance at with H0 can be rejected. a. Value of b. P value c. Probability of committing of Type I error d. Value of 1- 29. We say that sample results are significant when _____________________. a. H0 is not rejected b. H0 is rejected c. Is smaller than the p value d. The computed value of the test statistic falls in the acceptance region 30. You perform a hypothesis test about a population mean on the basis of the following information: The sampled population is normally distributed, S = 100, n = 25, x = 225, = 0.05, Ha: > 220. The critical value of the test statistic is _______________. a. 2.0639 b. 1.7081 c. 1.7109 d. 1.96 31. You perform a hypothesis test about a population mean on the basis of the following information: n = 50, x = 100, = 0.05, s = 30, Ha: < 110. The computed value of the test statistic is ___________________. a. -2.3570 b. -1.645 c. 2.3570 d. 4.24264 32. We commit a Type 1 error if we _______________ a true null hypothesis. a. Fail to reject b. Reject c. Accept d. Compute 33. Given: H0: 100, the alternative hypothesis is __________ if the test is one-sided and the critical value is negative. a. b. c. d. < 100 > 100 = 100 100 34. If we reject a null hypothesis, we conclude that the alternative hypothesis _____________. a. May be true b. Is true c. Is not true d. May not be true 35. You perform a hypothesis test about a population mean on the basis of the following information: The sample population is normally distributed with a variance of 100, n = 25, , = 225, = 0.05, Ha: > 220. The critical value of the test statistic is _______________. a. 2.5 b. 1.645 c. 1.7109 d. 1.96 36. Given H0: = 10, Ha: 10, n = 12, = 0.01, and the computed test statistic is t = -2.694, the p value for the test is ______________. a. Between 0.02 and 0.01 b. Between 0.025 and 0.01 c. Between 0.05 and 0.02 d. None of the above 37. Given H0: 25, Ha: > 25, n = 14, = 0.05, s2 = 36, and the test statistic is ________________. a. 1.9444 b. 1.7613 c. 1.7709 d. 2.1180 x = 30, the critical value of 38. Given H0: 70, Ha: > 70, n = 10, = 0.01, s2 = 49, and the test statistic is ________________. a. 3.6140 b. 2.7640 c. 3.2498 d. 2.8210 x = 78, the critical value of 39. The purpose of hypothesis testing is to help one reach a conclusion about _________ by examining the data contained in __________________. a. A population; a sample b. An experiment; a computer printout c. A population; an event d. A group of subjects; a probability statement x 40. The probability of rejecting a true null hypothesis is also referred to as the ________________ for the test. a. P value b. Critical value c. Rejection region d. Level of significance 41. A null hypothesis is rejected at the level of significance when the p value is __________. a. Less than or equal to only b. Exactly equal to only c. Greater than or equal to d. Greater than or equal to the critical value of the test statistic 42. The two kinds of statistical hypotheses are the null hypothesis and the ____________ hypothesis. a. Accepted b. Rejected c. Alternative d. Null 43. The statement of what the investigator is trying to conclude is placed in the _________ hypothesis. a. Accepted b. Rejected c. Alternative d. Null 44. The _____________ hypothesis is the hypothesis that is tested. a. Accepted b. Rejected c. Alternative d. Null 45. If the null hypothesis is rejected, we conclude that the ____________ hypothesis is true. a. Accepted b. Rejected c. Alternative d. Null 46. If the null hypothesis is not rejected, we conclude that the ____________ hypothesis may be true. a. Accepted b. Rejected c. Alternative d. Null 47. The statistic that is used as a decision maker in a hypothesis-testing procedure is called the _________________. a. Test statistic b. Sample statistic c. Unbiased statistic d. Relevant statistic 48. The rejection of a true null hypothesis is called the _____________ error. a. Standard b. Type I c. Critical d. Type II 49. The quantity that gives the probability that a false null hypothesis will be rejected is called the ________________ of the test. a. Power b. Probability of a Type II error c. Significance level d. Probability of a Type I error 50. A ____________________ is a numerical quantity computed from the data of a sample that is used in reaching a decision on whether or not to reject the null hypothesis. a. Critical value b. Test statistic c. Parameter d. Significance level