Question 194584: 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 .10 level of significance, is the coin biased toward heads?
Show your decision rule and calculations.
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Ho: p = 1/2
Ha: p > 1/2
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If the test statistic is greater than z = 1.645, reject Ho.
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sample proportion = 38/60 = 0.633333...
z(0.6333..) = (0.633333- 0.5)/sqrt[0.5*0.5/60] = 2.06559...
Conclusion: Since the test statistic is in the rejection interval, reject Ho.
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(b) Calculate a p-value and interpret it.
p-value = P(z > 2.06559...) = 0.01943..
Interpretation: Only 1.943% of test results could have provided stronger
evidence for rejecting Ho.
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Cheers,
Stan H.
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