In a recent survey of drinking laws, a random sample of 1000 women showed that 65% were in favor ofincreasing the legal drinking age. In a random sample of 1000 men, 60% favored increasing the legal drinkingage. Test the hypothesis that the percentage of men and women favoring a higher legal drinking age is thesame. Use α = 0.05.

Question

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The Answer is

\alpha = 0.05

:

\mathrm { p } 1 = \mathrm { p } _ { 2 } ;

critical value

\mathrm { z } _ { 0 } = 1.96

; standardized test statistic

\mathrm { t } \approx 2.309

; reject the null hypothesis; There is sufficient evidence to reject the hypothesis.

In a Recent Survey of Drinking Laws, a Random Sample