(Problems 3-4) In a survey by Pew Research of adults aged 18-34, 63% of participants said abortion should be legal in all or most cases, while 36% said abortion should be illegal in all or most cases. The margin of error was reported as ± 3.1%. The confidence level was not reported but is likely 95%.
3. Your friend claims this poll indicates that there is a 95% chance that the actual proportion of adults aged 18-34 who believe abortion should be legal in all or most cases is between 59.9% and 66.1%. Explain why this interpretation is wrong.
4. Give a correct interpretation of what the confidence interval (0.599, 0.661) with a confidence level of 95% means in terms of the context of this survey.