A government's congress has 376 members, of which 44 are women. An alien lands near the congress building and treats the members of congress as as a random sample of the human race. He reports to his superiors that a 95% confidence interval for the proportion of the human race that is female has a lower bound of 0.085 and an upper bound of 0.149. What is wrong with the alien's approach to estimating the proportion of the human race that is female?

Question

Tanya Knox

Mathematics

12 July, 02:43

A government's congress has 376 members, of which 44 are women. An alien lands near the congress building and treats the members of congress as as a random sample of the human race. He reports to his superiors that a 95% confidence interval for the proportion of the human race that is female has a lower bound of 0.085 and an upper bound of 0.149. What is wrong with the alien's approach to estimating the proportion of the human race that is female?

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Diya Stanton · Answer 1

Alien does not take the sample because alien choose the data of a Government's congress and congress contain less women.

On the other hand general population contain women greater than congress

So as compared to general population confidence interval is not representative.