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It has been claimed that, for a penny minted in 1999 or earlier, the probability that...

It has been claimed that, for a penny minted in 1999 or earlier, the probability that a spinning penny will fall with heads facing up is p=0.30. Three students got together, and they would each spin a penny and record the number X of heads out of three spins. They repeated this experiment n=200 times, observing the following data:

X= 0, 1, 2, 3 for 68, 77, 49, and 6 times respectively.

Using these data, we shall use a chi-square goodness of fit test statistic to test the null hypothesis at alpha=0.05 that

a) the distribution of X is b(3,0.3)

b) the distribution of X is b(3,p) and estimate p.

**I only need help with part b. Also, I need help with how to do it by hand-- not using software.

Math   Statistics-And-Probability   
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