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) Calcul

Question 135604This question is from textbook
: 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. This question is from textbook

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. (b) Calculate a p-value and
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p-hat = 38/60 = 0.63333...
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Ho: p= 0.5
Ha: p> 0.5
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Critical Value for one-tail z-test with alpha = 10%: z = 1.2816
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Test statistic: z(0.6333) = (0.63333-5)/sqrt(0.5)(0.5)/60] = 2.0651
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Conclusion: Since test stat is greater than crit value, Reject Ho.
Test gives evidence that the coin is biased toward heads.
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(b) Calculate a p-value and interpret:
p-value = P(2.0651 < z < 10) = 0.1946
Less that 2% of test results could have given stronger evidence
against Ho.
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Cheers,
Stan H.

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