I am having a really hard time with this problem because I have no teacher to discuss it with. I am hoping someone here can help me.

The probability of observing heads is throught to be p=0.30. Three people spun a coin and recorded the number of heads out of the three spins, say x. They repeated this n=200 times, observing 0, 1, 2, and 3 heads 57, 95, 38, and 10 times, respectively. Use these date to test the hypothesis that X is b(3,0.30). Give limits for the p-value of this test. In addition, out of 600 spins, calculate the number of heads occurring and then a 95% confidence interval for p.

I'm sorry the problem is so long. I actually picked one of the shorter ones.