Math  /  Data & Statistics

QuestionThis question: 1 point(s) possib
Given below are the number of successes and sample size for a simple random sample from a population. x=6,n=40,90% level x=6, n=40,90 \% \text { level } a. Determine the sample proportion. b. Decide whether using the one-proportion z-interval procedure is appropriate. c. If appropriate, use the one-proportion z-interval procedure to find the confidence interval at the specified confidence level. d. If appropriate, find the margin of error for the estimate of pp and express the confidence interval in terms of the sample proportion and the margin of error. a. p^=\hat{p}= \square (Type an integer or a decimal. Do not round.) b. Is the one-proportion z-interval procedure appropriate? Select all that apply. A. The procedure is appropriate because the necessary conditions are satisfied. B. The procedure is not appropriate because nxn-x is less than 5 . C. The procedure is not appropriate because the sample is not à simple random sample. D. The procedure is not appropriate because x is less than 5 . c. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The 90%90 \% confidence interval is from \square to \square . (Round to three decimal places as needed. Use ascending order.) B. The one-proportion z-interval procedure is not appropriate. d. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The margin of error is \square . The 90%90 \% confidence interval is \square ±\pm \square .

Studdy Solution
a. p^=0.15\hat{p} = 0.15 b. A. The procedure is appropriate because the necessary conditions are satisfied. c. A. The 90% confidence interval is from 0.057 to 0.243. d. A. The margin of error is 0.093.
The 90% confidence interval is 0.15 ± 0.093.

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