A national survey of 1000 adult citizens of a nation found that 24% dreaded Valentine's Day. The margin of error for the survey was 4.2 percentage points with 90% confidence. Explain what this means. Which statement below is the best explanation? O A. In 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.198 and 0.282. O B. There is 90% confidence that 24% of the adult citizens of the nation dreaded Valentine's Day. O C. There is 85.8% to 94.2% confidence that 24% of the adult citizens of the nation dreaded Valentine's Day. O D. There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.198 and 0.282.A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 99% confidence if (a) she uses a previous estimate of 0.32? (b) she does not use any prior estimates? Click the icon to view the table of critical values. - X Table of critical values (a) n= (Round up to the nearest integer.) (b) n=(Round up to the nearest integer.) Level of Confidence, Area in Each Tail, 2 Critical Value, z; (1 - a) . 100% 90% 0.05 645 95% 0.025 1.96 19% 0.005 2.575 Print Done1 By how many times does the sample size have to be increased to decrease the margin of error by a factor of E? 1 The sample size must be increased by a factor of to decrease the margin of error by a factor of E" (Type a whole number.) What is the general relationship, if any, between the sample size and the margin of error'? 0A. 1 Increasing the sample size by a factor M results in the margin of error decreasing by a factor of . N O B- 1 Increasing the sample size by a factor M results in the margin of error decreasing by a factor of M' O C. 1 Increasing the sample size by a factor M results in the margin of error decreasing by a factor of W. O D. There is no relationship between the sample size and the margin of error