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A random sample of size 140 taken from a population yields a proportion equal to 0.37. Complete parts a through d below. Click the icon
A random sample of size 140 taken from a population yields a proportion equal to 0.37. Complete parts a through d below. Click the icon to view a table of critical values for commonly used confidence levels. . . . . . a. Determine if the sample size is large enough so that the sampling distribution can be approximated by a normal distribution. Since np = and n(1 - p) = , the sample size large enough. (Round to the nearest whole number as needed.) b. Construct a 95% confidence interval for the pop is not -X Critical values for commonly used (Round to three decimal places as needed. Use as is confidence levels c. Interpret the confidence interval calculated in pa Which statement below correctly interprets the confidence interval? Confidence Level Critical Value 80% Z = 1.28 O A. There is a 0.95 probability that the population proportion is in the interval. 90% Z = 1.645 95% Z = 1.96 O B. Of all the possible population proportions, 95% are in the interval. 99% z =2.575 O C. There is 95% confidence that the population proportion is in the interval. O D. There is a 0.95 probability that the sample proportion is in the interval. d. Produce the margin of error associated with this confidence interval. Print Done e = (Round to three decimal places as needed.)
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