Final answer:
To calculate the 97% confidence interval for the proportion of U.S. adults who will not work on Black Friday, we use the sample proportion, sample size, standard error, and the z-score for 97% confidence to find the margin of error and then determine the range for the confidence interval.
Step-by-step explanation:
To find the 97% confidence interval for the true proportion of U.S. adults who would get no work done on Black Friday due to shopping, we will use the sample proportion (p), the sample size (n), and the z-score for the desired confidence level. According to the survey, 47% of the 1550 adults surveyed said they would not work on Black Friday. We will calculate the standard error (SE) and use the z-score for 97% confidence.
First, calculate the sample proportion (p) and the standard error (SE):
SE = √(p*q/n) = √(0.47*0.53/1550)
Upper limit = p + ME
The 97% confidence interval of the true proportion is thus the range from the lower limit to the upper limit calculated.