5 Mahmoud throws a coin 400 times and finds that it shows heads 184 times. The probability that the coin shows heads on any throw is denoted by \(p\).
- Calculate an approximate \(95 \%\) confidence interval for \(p\).
- Mahmoud claims that the coin is not fair. Use your answer to part (i) to comment on this claim.
- Mahmoud's result of 184 heads in 400 throws gives an \(\alpha \%\) confidence interval for \(p\) with width 0.1 . Calculate the value of \(\alpha\).