Question 262354: a coin was flipped 60 times and came up heads 38 times. a) at the .10 level of significance, is the coin biased toward heads? show your decision rule and calculations. b) Calculate a p-value and interpret it.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a coin was flipped 60 times and came up heads 38 times.
a) at the 0.10 level of significance, is the coin biased toward heads? show your decision rule and calculations.
b) Calculate a p-value and interpret it.
Ho: p = 1/2
Ha: p is not equal to 1/2
-----------------------------
p-hat = 38/60 = 19/30
----------------------
test stat: t(19/30) = [(19/30))-(1/2)]/sqrt[(1/2)(1/2)/60] = 2.0656
----------------------
p-value = 2*P(t > 2.0656 with df = 59) = 0.0433..
----------------------------------------
Conclusion: At the 5% significance level, since the p-value is less
than 5%, reject Ho. The test provides evidence the coin is biased
toward heads.
=========================================
Cheers,
Stan H.
|
|
|
