SOLUTION: ``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)

Algebra ->  Probability-and-statistics -> SOLUTION: ``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)      Log On


   

Question 189125: ``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) About Me  (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 .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
---
Ho: p = 1/2
Ho: p > 1/2
-------------------------------
sample proportion: 38/60 = 0.6333
test statistic: z(0.6333) = (0.6333-0.5)/sqrt[(.5*.5/60] = 2.0656
(b) Calculate a p-value and interpret it.
p-value = P(z > 2.0656) = 0.0194
This means the probability of a test providing stronger evidence
for rejecting Ho is 1.094%
-------------
Conclusion: Since the p-value is less than alpha = 10%, reject Ho.
The coin is biased toward heads.
===================================
Cheers,
Stan H.