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Final Revision Section A: True andfor False 1. Statistics is the science of preparing, processing, presenting. analyzing. and presenting data to assist in making more effective decisions. 2. The statistic p = x may be assumed normally distributed when up 2 10.n(1 p) 2 1t}. 3. 251\" is the sampling error. 2 4. The hypothesis testing of H\": s pn,H1:p 3: u is called right tailed test. 5. The hypothesis testing of H": p = pD,H1:p at no is called left tailed test. 6. The correlation coefficient r = 0.9 indicates a week correlation between y and x. T. Reject the null hypothesis when it is true is called Type I error. E. Condent Interval 95 \"if: have a = 0.05. We calculate Zg_|325=1.96 9. To choose the 2 distribution for a hypothesis test of a mean when we are unknown the o. 10. To choose the student's t for a hypothesis test of a mean when we are unknown the c. 11. The statistic p = sin may be assumed normally distributed when rip 2 10.n[1 p) 2 1f}. 12. The degree of freedom increase, the t-values approach the familiar normal z-value. 13. We study P-value in order to make more strong evident to reject null hypothesis. Section B: Solving Problems 1. Construct a confidence interval for p assuming that each sample is from a normal population a. X = 30. a = in = 5.90 percent confident: b. X = 50. s = 20m = 10.99 percent confident I. Find the critical value of Student's t for each hypothesis test. a. J? = 347, pa = 349.5 = 1.8.1: = 9 b. X = 45. pa = 50.5 = 12.n = 16 c. X = 4.103. an. = 4.004.: = 0.245.11 = 25 3. Of 100 bank customers depositing a check. 13 received some cash back. a. Construct a so percent confidence interval for the proportion of all depositors who ask for cash back. 4. 0f 43 bank customers depositing a check. 15 received some cash back. a. Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back