Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300 times and got 128 heads. We wish to find how significant is this evidence against equal probabilities.

1. What is the sample proportion of heads?
   
   Round to 3 places.
   
   
2. 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?
   
   
   • H₀: p ≠ 0.5
     H₀: p = 0.5
   • H₀: p = 0.5
     H₀: p > 0.5
   • H₀: p = 0.5
     H₀: p < 0.5
   • H₀: p = 0.5
     H₀: p ≠ 0.5
   
   
   
3. Compute the z test statistic.
   
   z = Round to 2 places.