A sample survey at a supermarket showed that 204 of 300 shoppers regularly use coupons. Use the large-sample confidence-interval formula of Theorem 11.6 to construct a 95% confidence interval for the corresponding true proportion.
Answer to relevant QuestionsShow that the (1 – α) 100% confidence interval Is shorter than the (1 – α) 100% confidence interval Use the result of Exercise 11.13 to rework Exercise 11.45, given that the poll has reason to believe that the true proportion does not exceed 0.30. With reference to Exercise 11.24, use the large-sample confidence- interval formula of Exercise 11.19 to construct a 99% confidence interval for the standard deviation of the annual growth of the given kind of cactus. In ...Modify Theorem 11.1 so that it can be used to appraise the maximum error when σ2 is unknown. This method can be used only after the data have been obtained. Given a random sample of size n from a normal population with µ = 0, use the Neyman-Pearson lemma to construct the most powerful critical region of size α to test the null hypothesis σ = σ0 against the alternative σ = ...
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