Answer to Question #2406 in Statistics and Probability for Damien
random sample of scientists in 1990 included 272 women. Do these figures indicate
an increase in the population proportion of scientists who are women?
Hint: Construct the 95% CI for the difference in proportions and examine whther
that CI contains zero.
where r = 212/1000 + Z0.95 * √(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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