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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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