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In: Statistics and Probability

In 2003​, a reproductive clinic reported 41 live births to 157 women under the age of​...

In 2003​, a reproductive clinic reported 41 live births to 157 women under the age of​ 38, but only 6 live births for 79 clients aged 38 and older. Is there evidence of a difference in the effectiveness of the​ clinic's methods for older​ women? ​a) Test an appropriate hypothesis and state your conclusion.​ (Use the pooled sample proportion when checking the​ success/failure condition.) ​b) If you concluded there was a​ difference, estimate that difference with a 95​% confidence interval and interpret your interval in context.

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