According to Emergency Room Statistics, in any 6 month period, 15.2% of asthmatic children not on inhalers will have an asthmatic complication requiring the emergency room. A pharmaceutical firm has developed a new steroidal inhaler. The company believes that the use of this steroidal inhaler will decrease the percentage of asthmatic children requiring emergency room care for asthmatic complications. Because the FDA requires 2-sided hypothesis tests, the company tested the following claim: In any 6 month period, the percentage of asthmatic children using their steroidal inhaler that require emergency room care for asthmatic complications will not be 15.2%. To test their claim, they took a simple random sample of 260 asthmatic children and had them use a steroidal inhaler for 6 months. Of the 260 children, 60 required emergency room care for asthmatic complications at some time in the 6 month period. (c) What is the critical value which represents a boundary between the rejection region and fail to reject region?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 22E
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According to Emergency Room Statistics, in any 6 month period, 15.2% of asthmatic children not on inhalers will have an asthmatic complication requiring the emergency room. A pharmaceutical firm has developed a new steroidal inhaler. The company believes that the use of this steroidal inhaler will decrease the percentage of asthmatic children requiring emergency room care for asthmatic complications. Because the FDA requires 2-sided hypothesis tests, the company tested the following claim: In any 6 month period, the percentage of asthmatic children using their steroidal inhaler that require emergency room care for asthmatic complications will not be 15.2%. To test their claim, they took a simple random sample of 260 asthmatic children and had them use a steroidal inhaler for 6 months. Of the 260 children, 60 required emergency room care for asthmatic complications at some time in the 6 month period.


(c) What is the critical value which represents a boundary between the rejection region and fail to reject region?

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