Consider the next 1000 80% CIs for ? that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of ?? USE SALT intervals What is the probability that between 790 and 810 of these intervals contain the corresponding value of ?? [Hint: Let Y = the number among the 1000 intervals that contain ?. What kind of random variable is Y?] (Use the normal approximation to the binomial distribution. Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
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A random sample of size n = 500 is selected from a binomial distribution with p = 0.6. Describe the approximate shape of the sampling distribution of p̂. skewed right uniform approximately normal skewed left Calculate the mean and standard deviation (or standard error) of the sampling distribution of p̂. (Round your standard deviation to four decimal places.) mean standard deviation Find the probability that the sample proportion p̂ is greater than 0.63. (Round your answer to four decimal places.) Find the probability that the sample proportion p̂ lies between 0.55 and 0.65. (Round your answer to four decimal places.) You may need to use the appropriate appendix table to answer this question.
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