CH12 - 12 , 1 p, p

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12:  INFERENCE ABOUT A POPULATION MULTIPLE CHOICE QUESTIONS In the following multiple-choice questions, please circle the correct answer. 1. In selecting the sample size to estimate the population proportion  p , if we have no knowledge of  even the approximate values of the sample proportion  p ˆ , we:  a. take another sample and estimate  p ˆ b. take two more samples and find the average of their  p ˆ c. let  p ˆ = 0.50 d. let  p ˆ = 0.95  ANSWER: c 2. Under which of the following circumstances is it impossible to construct a confidence interval for  the population mean? 3. The use of the standard normal distribution for constructing confidence interval estimate for the  population proportion  p  requires:
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4. The lower limit of a confidence interval at the 95% level of confidence for the population  proportion if a sample of size 200 had 40 successes is: 5. Assuming that all necessary conditions are met, what needs to be changed in the formula n p p t p / ) ˆ 1 ( ˆ ˆ - ± α so that we can use it to construct a confidence interval estimate for the population proportion   p ? a. The  p ˆ should be replaced by  p b. The  α t  should be replaced by  α z c. The  α t  should be replaced by  2 / α t d. The  α t  should be replaced by  2 / α z ANSWER: d 6. Suppose that a one-tail  t  test is being applied to find out if the population mean is less than 100.  The level of significance is 0.05 and 25 observations were sampled.  The rejection region is:
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