document.write( "Question 774552: A coin is flipped 60 times. it landed on head 36 times. Do you think that the coin is biased? \n" ); document.write( "

Algebra.Com's Answer #472314 by reviewermath(1029) $\"\"$ $\"About$

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Q:
\n" ); document.write( "A coin is flipped 60 times. it landed on head 36 times. Do you think that the coin is biased?
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\n" ); document.write( "A:
\n" ); document.write( "Null Hypothesis, H0: p = 0.5, The coin is unbiased.
\n" ); document.write( "Alternative Hypothesis, H1: p ≠ 0.5, The coin is biased.
\n" ); document.write( "Level of Significance: α = 0.05
\n" ); document.write( "Critical Values: ą1.96
\n" ); document.write( "Test Statistic: z
\n" ); document.write( "sample proportion = 36/60 = 0.6
\n" ); document.write( " $\"z+=+%280.6+-+0.5%29%2Fsqrt%280.5%2A0.5%2F60%29+=+1.5492\"$
\n" ); document.write( "P-Value = 0.1213
\n" ); document.write( "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. \n" ); document.write( "

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