SOLUTION: A survey of 650 registered voters showed that 360 planned to vote for the candidate of the party that requested the survey. Test the claim that at a(alpha)=0.05 the party's candida

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Question 294052: A survey of 650 registered voters showed that 360 planned to vote for the candidate of the party that requested the survey. Test the claim that at a(alpha)=0.05 the party's candidate will receive more that 51% of the vote in the election, Use the P-value method.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A survey of 650 registered voters showed that 360 planned to vote for the candidate of the party that requested the survey.
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Test the claim that at a(alpha)=0.05 the party's candidate will receive more that 51% of the vote in the election, Use the P-value method.
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Ho: p = 0.51
Ha: p > 0.51
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sample proportion: 360/650 = 0.55
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test stat: z(0.55)= (0.55-0.51)/sqrt[0.51*0.49/650] = 2.0400
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P-value = P(z > 2.400) = 0.0082
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Conclusion: Since the p-value is less than 1%, reject Ho at the
1% significance level.
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Cheers,
Stan H.

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