2211 Explain why we cant use the z test for a proportion in

(22.11) Explain why we can\'t use the z test for a proportion in the following situations: You toss a coin 14 times in order to test the hypothesis H0: p = 0.5 that the coin is balanced.

The sample size 14 is too small

We cannot be certain that the coin is balanced

The sample size 14 is too large

Solution

we know that chnaces comming head and tail is 0.5 in long run

In other words it can be said that chances of commig head and tails tends to 0.5 if we toss the coin large number of times.

also we cannot perform z test because data wiill not follow normal distribution for small number of trails