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) Calculate

Algebra ->  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) Calculate      Log On

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Question 150086: 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(48568) 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
Ha: p > 1/2
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I ran a 1-prop z test
test statistic: z = 2.06559...
p-value = 0.01943...
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Decision Rule: If test statistic is greater than 1.28155, reject Ho.
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(b) Calculate a p-value and interpret it.
p-value = 0.01943...
Only 1.943% of test results could give stronger evidence for rejecting Ho.
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Conclusion: Since p-value is less than 10%, reject Ho.
The coin is biased toward heads.
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Cheers,
Stan H.