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. 
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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.