Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 250 times and got 109 heads. We wish to find how significant is this evidence against equal probabilities. a. What is the sample proportion of heads? Round to 3 decimal places. b. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? O Ho: P * 0.5 Ho: p = 0.5 O Ho: p = 0.5 Ho: p 0.5 c. Compute the z test statistic. Z = Round to 2 decimal places