15) Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 100 times and got 43 heads. We wish to find how significant is this evidence against equal...

15)

Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 100 times and got 43 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?
   
   
   Takep
   to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test?
   PICK ONE
   
   
   
   

   
   
   • H₀:p = 0.5
     H₀:p <>
   
   
   • 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.