Discover new perspectives and gain insights with IDNLearn.com. Our experts provide timely and precise responses to help you understand and solve any issue you face.

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

Sagot :

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

View image Batolisis