Question
Online dating ~ In a recent representative sample of 700 US adults, 217 say they have used an online dating site. 1. Construct a 95%
Online dating ~ In a recent representative sample of 700 US adults, 217 say they have used an online dating site.1. Construct a 95% confidence interval for the actual proportion of US adults who say they have used an online dating site. Round your calculated values to 4 decimal places.( , )2. The standard error for a 95% confidence interval for this sample data is 0.0175. Which of the statements below is a correct interpretation of the standard error?A. We expect any sample proportion to be wrong approximately 1.75% of the time, on average. B. We have strong evidence that, on average, a new sample will give a sample proportion within 0.0175 of the lower and upper bounds of the confidence interval. C. We can be 1.75% confident that our sample proportion is correctly calculated. D. In repeated samples of the same size, we will expect, on average, the sample proportions to be within 0.0175 of the actual proportion of interest in this question.3. Suppose you wanted to estimate the actual proportion of US adults who say they have used an online dating site at 95% confidence with a margin of error no more than 2.9% What is the minimum sample size you would need to accomplish this?Use the sample information given above as a planning value for pp and round your zz value to three decimal places when calculating your answer. Give your answer as an integer.
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