X i ∼ B e r n ( p ), Y = ∑ i =...

gledanju0

gledanju0

Answered

2022-06-24

X i B e r n ( p ), Y = i = 1 N X i and H 0 : p 0.5 vs H 1 : p < 0.5 with α = 0.05.
I have to find the p-value at n = 30 and y = 5.
I'm not sure if this correct, but I figured the p-value was simply:
P ( Y 5 ) = i = 1 5 ( 30 y ) ( 0.5 ) y ( 0.5 ) 30 y
which works out to be 0.00016.
If this is correct, then why have I been given α?

Answer & Explanation

scipionhi

scipionhi

Expert

2022-06-25Added 25 answers

The p-value you calculated is correct. α = 5 % is given to compare the p-value you found with it.
As p v a l u e < α you reject H 0 .

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