1 In a game, a ball is thrown and lands in one of 4 slots, labelled \(A , B , C\) and \(D\). Raju wishes to test whether the probability that the ball will land in slot \(A\) is \(\frac { 1 } { 4 }\).
- State suitable null and alternative hypotheses for Raju's test.
The ball is thrown 100 times and it lands in slot \(A 15\) times. - Use a suitable approximating distribution to carry out the test at the \(2 \%\) significance level.