Directions: Show ALL work! Please round any answer to thenearest hundredth, unless you can get an exact amount. If an answerasks to explain, please make sure to give a valid and completeexplanation. For your hypothesis tests, make sure you give acomplete interpretation.
2. In a survey of 500 randomly selected U.S. teens, it was foundthat 37% of them have been in the car while a person under theinfluence is driving.
a) Construct a 90% confidence interval for the populationproportion of U.S. teens who have been in the car while a personunder the influence is driving.
b) Using the information from part a, determine the minimumsample size required to be 95% confident that the estimate isaccurate within 3% of the population proportion.