Question: What assumption s must hold true to use the normal distribution
What assumption(s) must hold true to use the normal distribution to make a confidence interval for the population proportion, p?
Answer to relevant QuestionsCheck if the sample size is large enough to use the normal distribution to make a confidence interval for p for each of the following cases. a. n = 50 and p̂ = .25 b. n = 160 and p̂ = .03 c. n = 400 and p̂ = .65 d. n = 75 ...A sample of 200 observations selected from a population gave a sample proportion equal to .27. a. Make a 99% confidence interval for p. b. Construct a 97% confidence interval for p. c. Make a 90% confidence interval for ...Determine the sample size for the estimation of the population proportion for the following, where p̂ is the sample proportion based on a preliminary sample. a. E = .025, p̂ = .16, confidence level = 95% b. E = .05, p̂ = ...In a Time/Money Magazine poll of Americans of age 18 years and older, 65% agreed with the statement, “We are less sure our children will achieve the American Dream” (Time, October 10, 2011). Assume that this poll was ...Because of inadequate public school budgets and lack of money available to teachers for classroom materials, many teachers often use their own money to buy materials used in the classrooms. A random sample of 100 public ...
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