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Translate the statement into a confidence interval. Approximate the level of confidence. In a survey of 1061 adults in a country, 72% said being able to speak the language is at the core of national identity. The survey's margin of error is + 3. The confidence interval for the proportion is (Round to three decimal places as needed.)A researcher wishes to estimate, with 95% condence, the population proportion of motor vehicle fatalities that were caused by alcohol-impaired driving. His estimate must be accurate within 4% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 28% of motor vehicle fatalities that were caused by alcohol-impaired driving. (0) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n = (Round up to the nearest whole number as needed.)