Answer:
We have to flip the coin 78 times.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
We suspect that the coin is fair.
This means that
96.5% confidence level
So , z is the value of Z that has a pvalue of , so .
How many times would we have to flip the coin in order to obtain a 96.5% confidence interval of width of at most .12 for the probability of flipping a head?
n times, and n is found when M = 0.12. So
Rounding up
We have to flip the coin 78 times.