Question

A hockey team is convinced that the coin used to determine the order of play is weighted for heads. The team captain steals this special coin and flips it 14 times to evaluate the hypothesis that the coin is weighted for heads, and it shows up heads 12 times. Test this hypothesis (use alpha=.05).

Answer 1

Let P be the true proportion of heads obtained.

The null and alternate hypothesis are:

H0:

Ha:

The test statistic is given by:

Since this is a right-tailed test, so the p-value is given by:

Since p-value is less than 0.05, so we have sufficient evidence to reject the null hypothesis
H0.

Thus, we can conclude that i.e. the coin in weighted for heads.