# 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+Z

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.

where r=212/1000+Z

_{0.95}* SQRT (212*(1000-212)/1000^{3})=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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