SOLUTION: A coin is flipped 60 times. it landed on head 36 times. Do you think that the coin is biased?

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Question 774552: A coin is flipped 60 times. it landed on head 36 times. Do you think that the coin is biased?
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
A coin is flipped 60 times. it landed on head 36 times. Do you think that the coin is biased?
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A:
Null Hypothesis, H0: p = 0.5, The coin is unbiased.
Alternative Hypothesis, H1: p ≠ 0.5, The coin is biased.
Level of Significance: α = 0.05
Critical Values: ±1.96
Test Statistic: z
sample proportion = 36/60 = 0.6
z+=+%280.6+-+0.5%29%2Fsqrt%280.5%2A0.5%2F60%29+=+1.5492
P-Value = 0.1213
Fail to reject the Null Hypothesis because the test statistic (1.5492) is between the lower (-1.96) and upper critical value (1.96). We do not have enough evidence to support the claim that the coin is biased.