Do you believe in ghosts? A telephone survey of 1000 randomly selected US adults found that 69% of them say they do not believe in ghosts.

a) Does this provide evidence that more than 65% of US adults believe in ghosts? Include all steps (including checking conditions for Normality using the null proportion) and show your work on the calculations. An approximate standard error is 0.01508.

b) Find and interpret a 95% confidence interval for the proportion of all US adults who do not believe in ghosts using the normal distribution. Include all steps (including checking conditions for normality using the sample data) and show your work on the calculations. An approximate standard error is 0.01463.