Question

It has been claimed that, for a penny minted in 1999 or earlier, the probability of observing heads upon spinning the penny is p = 0.3. Three students got together, and they would each spin a penny and record the number X of heads out of the three spins. They repeated this experiment 200 times, observing 0, 1, 2, and 3 heads 57, 95, 38, and 10 times, respectively. Use these data to test the hypotheses that X is b(3, 0.3) that is binomial with n = 3 and p = 0.3 using

Answer 1

Answer:

accept Null hypothesis at ∝ = 0.05

Step-by-step explanation:

To test the hypothesis that:  X is b( 3, 0.3 )  ( Null hypothesis )

Let X = number of heads out of three spins

In three spins there were 4 outcomes

Ao = 0 , A1 = 1 , A2 = 2 , A2 = 3   { 0,1,2,3 } outcomes in three spins

next: lets determine the probability of each result

attached below  is the detailed solution

H0 : pi = pio

where i = 0,1,2,3