Although flipping a coin should result in 50% heads in the long run, what proportion of the time will spinning coins on a table result in landing heads up? Determine this with a coin of your choice, making sure you have enough trials to meet the validity conditions of a one proportion theory-based confidence interval. In doing so, 

a. State and verify the validity conditions for the one proportion z-interval. 

b. Give the sample statistic. 

c. Determine a 95% confidence interval. 

d. Interpret the confidence interval you obtained in the context of the problem.