Online dating ~In a recent representative sample of 530 US adults, 132 say they have gone on a date with someone they met through an online dating site.1.Construct a 90% confidence interval for the actual proportion of US adults who say they have gone on a date with someone they met through an online dating site.Round your calculated values to 4 decimal places.(,)

2.The standard error for a 90% confidence interval for this sample data is 0.0188. Which of the statements below is a correct interpretation of the standard error?A. We have strong evidence that, on average, a new sample will give a sample proportion within 0.0188 of the lower and upper bounds of the confidence interval.

B. We can be 1.88% confident that our sample proportion is correctly calculated.

C. We expect any sample proportion to be wrong approximately 1.88% of the time, on average.

D. In repeated samples of the same size, we will expect, on average, the sample proportions to be within 0.0188 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 gone on a date with someone they met through an online dating site at 90% confidence with a margin of error no more than 1.2% What size sample would you need to accomplish this?Use the sample information given above as a planning value for

pand round your

zvalue to three decimal places when calculating your answer.Give your answer as an integer.=

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