Question: In a random sample of 300 persons eating lunch at
In a random sample of 300 persons eating lunch at a department store cafeteria, only 102 had dessert. If we use 102/300 = 0.34 as an estimate of the corresponding true proportion, with what confidence can we assert that our error is less than 0.05?
Answer to relevant QuestionsUse 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 11.30, construct a 95% confidence interval for the true variance of the skull length of the given species of bird. In exercise The length of the skulls of 10 fossil skeletons of an extinct species ...Show that if x is used as a point estimate of µ and s is known, the probability is 1 – α that | – µ|, the absolute value of our error, will not exceed a specified amount e when (If it turns out that n < 30, this ...A random sample of size n from an exponential population is used to test the null hypothesis θ = θ0 against the alternative hypothesis θ = θ1 > θ0. Use the Neyman-Pearson lemma to find the most powerful critical region ...Decide in each case whether the hypothesis is simple or composite: (a) The hypothesis that a random variable has a Poisson distribution with λ = 1.25; (b) The hypothesis that a random variable has a Poisson distribution ...
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