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Answer to Question #3011 in Statistics and Probability for nichola

Question #3011
In 1983, a random sample of 1000 scientists included 212 female scientists. A similar random sample of scientists in 1990 included 272 women. Do these figures indicate an increase in the population proportion of scientists who are women?
Expert's answer
Yes, because 95% one-tailed confidence interval is (0, r),
where r=212/1000+Z0.95 * SQRT (212*(1000-212)/10003)=0.233,
and the new proportion is more than right bound :
272/1000=0.272 > 0.233
And we reject hypothesis about that proportion is equal or less than 0.212.

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