Question 595829: When analyzing the last digits of telephone numbers in Port Jefferson, it is found taht among 1000 randomly selected digits, 119 are zeros. If the digits are randonly selected, the proportion of zeros should be 0.1.
Use the traditional method with .05 significance level to test the claim that the proportion of zeros equals 0.1
Use the P Value method with a .05 significance level to test the claim that the propartion of zeros equals 0.1
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! When analyzing the last digits of telephone numbers in Port Jefferson, it is found taht among 1000 randomly selected digits, 119 are zeros. If the digits are randonly selected, the proportion of zeros should be 0.1.
Use the traditional method with .05 significance level to test the claim that the proportion of zeros equals 0.1
Ho: p = 0.1
Ha: p # 0.1
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Critical Values: z = -1.95 or z = +1.96
sample proportion: 119/1000 = 0.119
z(0.119) = (0.119-0.1)/sqrt[0.1*0.9/1000) = 2.0028
Conclusion: Since 2.003 is in the reject interval, reject Ho.
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Use the P Value method with a .05 significance level to test the claim that the propartion of zeros equals 0.1
z(0.119) = 2.0028
p-value = 2P(z > 2.0028) = 2*0226 = 0.0452
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Conclusion: Since the p-value is less than 5%, reject Ho.
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Cheers,
Stan H.
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