A random sample of size n = 1000 yielded p = 0.95. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain. Construct a 90% confidence interval. Interpret the 90% confidence interval. Explain what is meant by the phrase "90% confidence interval". b: The 90% confidence interval for p is (Round to two decimal places as needed)
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Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? To answer this question, we need to check if the sample size is large enough to satisfy the conditions for using the large sample approximation. One Show more…
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A random sample of size n = 100 yielded p̂ = 0.50. a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain. b. Construct a 90% confidence interval for p. c. Interpret the 90% confidence interval. d. Explain what is meant by the phrase "90% confidence interval." a. Is the sample large enough? A. No, because np̂ ≥ 15 and nq̂ < 15. B. Yes, because np̂ ≥ 15 and nq̂ ≥ 15. C. No, because np̂ < 15 and nq̂ < 15. D. No, because np̂ < 15 and nq̂ < 15. b. The 90% confidence interval for p is ( , ). (Round to two decimal places as needed.) c. Interpret this confidence interval. A. We are 90% confident that p lies in the confidence interval. B. We are confident that 90% of the population is outside the interval for p. C. There is a 90% chance that the value of p is outside the interval. D. We are confident that 90% of the population is described by the interval for p. d. Explain what is meant by the phrase "90% confidence interval." A. There is a 90% chance that the true value of the parameter is the midpoint of the interval. B. 90% of similarly constructed intervals would contain the true value of the parameter. C. 90% of similarly constructed intervals would be centered on the true value of the parameter. D. The confidence interval is within 10% of the true parameter value.
Jerelyn N.
A random sample of size $n=250$ yielded $p=.80$. a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for $p ?$ Explain. b. Construct a $95 \%$ confidence interval for $p$. c. Interpret the $95 \%$ confidence interval. d. Explain what is meant by the phrase "95\% confidence interval."
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