Question 851059: A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 115 responded that they did. determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 115 responded that they did. determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance.
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Ho: p <= 0.5
Ha: p > 0.5 (claim)
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x-bar = 115/200 = 0.575
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z(0.575) = (0.575-0.5)/sqrt[0.5*0.5/200] = 2.1213
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The p-value = P(z > 2.1213) = normalcdf(2.1213,100) = 0.0169
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Conclusion:: Since the p-value is less than 5%, reject Ho.
The test results support the claim at the 5% level of significance.
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Cheers,
Stan H.
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