A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrom In the first stages of a clinical trial, it was successful for 8 out of 14 women. a. Construct a 95% confidence interval for the population proportion. b. Is it plausible that it is successful for only half the population? Explain. a. A 95% confidence interval for the population proportion is (0.31,0.83| (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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5.

**Problem Statement**

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 8 out of 14 women.

**a. Construct a 95% confidence interval for the population proportion.**

**b. Is it plausible that it is successful for only half the population? Explain.**

---

**Solution**

**a.** A 95% confidence interval for the population proportion is \( (0.31, 0.83) \).

(Round to two decimal places as needed.)
Transcribed Image Text:**Problem Statement** 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 8 out of 14 women. **a. Construct a 95% confidence interval for the population proportion.** **b. Is it plausible that it is successful for only half the population? Explain.** --- **Solution** **a.** A 95% confidence interval for the population proportion is \( (0.31, 0.83) \). (Round to two decimal places as needed.)
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