A PEW Research study in the year of 2021 involved randomly selecting 13,479 U.S adults and found that approximately 15% of the sample stated that they were very likely to seriously consider purchasing an electric car for their next vehicle purchase.

A. Show that the necessary conditions (Randomization Conditions 10% condition, Success/Failure Condition) are satisfied to construct a confidence interval. Briefly explain or show how each condition is satisfied.

B. Find the 97% confidence interval for the proportion that are very likely to seriously consider purchasing an electric car for their next purchase. (To show work (Write down which calculator /program you are using and what values you are entering into the calculator)

C. Explain what your answer to (b)means what exactly does it tell us about U.S adults?