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# A study based on a sample of 4 0 0 medical school students finds that the ratio of female students is 0 . 4 8

A study based on a sample of $400$ medical school students finds that the ratio of female students is $0\mathrm{.}48.$ The school rules require that the female ratio in the school is at least $0\mathrm{.}5?$

a$)\text{}\backslash "">(6)$ Test at the $5\%$ level the null hypothesis that the school rules are satisfied.

b$)\text{}\backslash "">(6)$ Calculate the p$-$value for this test.

c$)\text{}\backslash "">(6)$ In the context of this problem, explain why a one$-$sided alternative hypothesis is

more appropriate than a two$-$sided alternative.

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