A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome). In the

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A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome). In the first stages of a clinical trial, it was successful for 7 out of 10 women.
a. Construct an appropriate 95% confidence interval for the population proportion.
b. Is it plausible that it’s successful for only half the population? Explain.
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