Question: Suppose that a fair coin is to be tossed 150 times for the purpose of estimating the true proportion of times it will land head s face up.

a) Determine the distribution of the possible values of the point estimate

b) What is the expected error of the estimate?

c) What is the chance that the point estimate will be within 2% of the true proportion?

d) If we increased the number of coin tosses, what effect would that have on the chance of getting an estimate that lies within 2% of the true proportion of heads? Explain

e) If the sample size is increased to 650 tosses, then what is the chance that the point estimate will be within 2% of the true proportion?