I am not sure if I am doing this correctly. Please provide work and explanation for each question.

I need help. I am not sure if I am doing this correctly. Please provide work and explanation for each question.

1.

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

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7.  (2 pts) What does your decision mean?

2.

(11 pts) 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).

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7. (2 pts) What does your decision mean?

3.

(11 pts) A hockey team is convinced that the coin used to determine the order of play is weighted for tails. The team captain steals this special coin and flips it 14 times to evaluate the hypothesis that the coin is weighted for tails, and it shows up tails 11 times. Test this hypothesis (use alpha=.01).

1. (2 pts) What is the appropriate test?
2. (1 pt) State the null hypothesis:
3. (1 pt) State the alternative hypothesis:
4. (2 pts) Find the critical value:
5. (1 pt) Calculate the obtained statistic:
6. (2 pts) Make a decision:
7.  (2 pts) What does your decision mean?