# Statistics

A survey of 1,000 adult Americans included the following question: "If the military draft were reinstated, would you favor or oppose drafting women as well as men?" Forty-three percent responded that they would favor drafting women if the draft were reinstated. Using a significance level of 5%, determine if there is convincing evidence that less than half of adult Americans favor drafting women.

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1. Use a one-sample z-test for proportions.

z = (.43 - .50)/√(.50)(.50)/1000) = -4.358

Reject the null and accept the alternate hypothesis (p < .50).

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