Coin tossing. We do not have the patience of Count Buffon, so we tossed a coin only 50 times. We got 22 heads.

The proportion of heads is

^p

= 22 50

= 0.44 This is less than one-half. Is this evidence that our coin was not balanced?

Formulate the hypotheses for an appropriate significance test and determine the sampling distribution of the sample proportion of heads if the null hypothesis is true.