Use the given degree of confidence and sample data to construct a confidence int

Question

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p

Take a Test - Pamela Baptiste Harris - Internet Explorer P https://www.mathxl.com/Student/PlayerTest.aspx?testld 124126668&centerwin-yes; Pamela Baptiste Harris 3/15/16 11:18 AM Quiz: Module 5, Quiz Submit Quiz This Question: 1 pt 3 of 13 (1 complete) This Quiz: 24 pts possible Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Round to three decimal places n= 82, x=25; 98% confidence OA. B. C. D. 0.206

Explanation / Answer

Critical value at 98% confidence interval = 2.33

Mean = x/n = 25/82 = 0.3048

standard deviation = sqrt(0.3048*(1-0.3048)/82) = 0.0508

Confidence interval = 0.3048 - 2.33*0.0508 , 0.3048 + 2.33*0.0508 = 0.187, 0.423

b .  0.187, 0.423

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