Question

A random sample of size n 200 yielded p 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 95% confidence interval for p C. Interpret the 95% confidence interval d. Explain what is meant by the phrase 95% confidence interval. a. Is the sample large enough? AYes, because np 2 15 and nq2 15 No, because np 2 15 and nq< 15 No, because np <15 and nq< 15 No, because np < 15 and nq2 15 b. The 95% confidence interval for p is ( Round to two decimal places as needed.) c. Interpret this confidence interval A. We are confident that 95% of the population is described by the interval for p B. We are 95% confident that p lies in the confidence interval ° C. We are confident that 95% of the population is outside the interval for p 0 D. There is a 95% chance that the value of p is outside the interval d. Explain what is meant by the phrase 95% confidence interval. O B. ° C. C D. 95% of similarly constructed intervals would contain the true value of the parameter. The confidence interval is within 5% of the true parameter value There is a 95% chance that the true value of the parameter is the midpoint of the interval 95% of similarly constructed intervals would be centered on the true value of the parameter.

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Answer #1

Other parts were correct so, I have solved only part(b)

PCI-P) 2 O.5xoら 2 O O 0. 50 ± О.07 (0.5-0.07, 0.5+0.0 づ 43051

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