(Solved): Thank you for your help In a sample of 370 adults, 283 dressed up for Halloween this year even thoug ...

In a sample of 370 adults, 283 dressed up for Halloween this year even though they had to socially distance. Construct a $90\%$ confidence interval for the true population proportion of adults who dressed up for Halloween. a. Give your answers as decimals, to three places. $<p<$ b. Choose the correct interpretation of the confidence interval you found. With $90\%$ confidence, the proportion of all adults who dressed up for Halloween is between the two values I found. With $90\%$ confidence, a randomly selected adult dresses up for Halloween some percentage of time, somewhere between the two values I found. There is a $90\%$ chance that the proportion of people who dressed up for Halloween this year from the 390 adults sampled will be between the two values I found. There is a $90\%$ chance that the proportion of the population is between the two values I found. c. To the best of your ability, explain how you found the values in the confidence interval in the last question. You may want to tell me which formula you used, what you plugged in to the formula, etc. Partial credit may be awarded for any parts in this explanation that are correct even if your final answer was incorrect.