Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 100 times and got 44 heads. We wish to find how significant is this evidence against equal probabilities. What is the sample proportion of heads?_____ Round to 3 places. 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 = 0.5H1: p ≠ 0.5 H0: p = 0.5H1: p > 0.5 H0: p = 0.5H1: p < 0.5 H0: p ≠ 0.5H1: p = 0.5 Compute the z test statistic.z = ______ Round to 2 places.

Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 100 times and got 44 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
     H₁: p ≠ 0.5
   • H₀: p = 0.5
     H₁: p > 0.5
   • H₀: p = 0.5
     H₁: p < 0.5
   • H₀: p ≠ 0.5
     H₁: p = 0.5
   
   
   
3. Compute the z test statistic.
   
   z = ______ Round to 2 places.