Question 450492: In a survey of drinking laws, a random sample of 1000 women showed that 65% were in favor of increasing the legal drinking age. In a random sample of 1000 men, 60% favored increasing the drinking age. Test the hypothesis that the percentage of men and women favoring a higher drinking age is the same use alpha=0.05
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a survey of drinking laws, a random sample of 1000 women showed that 65% were in favor of increasing the legal drinking age. In a random sample of 1000 men, 60% favored increasing the drinking age. Test the hypothesis that the percentage of men and women favoring a higher drinking age is the same use alpha=0.05
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Ho: pw-pm = 0 (claim)
Ha: pw-pm is not 0
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I ran a 2-PropZTest on a TI-84 and got the following:
test statistic: z = 2.3094
p-value: 0.0209
Conclusion:
Since the p-value is less than 5%, reject Ho.
The test results do not support the claim.
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Cheers,
Stan H.
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