A certain drug is used to treat asthma. In a clinical trial of the drug, 25 of 284 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 11% of treated subjects experienced headaches.

A certain drug is used to treat asthma In a clinical trial of the drug 25 of 284 treated subjects experienced headaches based on data from the manufacturer The class=

Respuesta :

Remember that the test statistic for proportion-related hypothesis testing is:

[tex]Z_c=\frac{\hat{p}-p_{}}{\sqrt[]{\frac{p(1-p)}{n}}}[/tex]

Using the data displayed, we'll have that:

[tex]\begin{gathered} Z_c=\frac{\hat{p}-p_{}}{\sqrt[]{\frac{p(1-p)}{n}}}\rightarrow Z_c=\frac{(0.0880)-(0.1183)_{}}{\sqrt[]{\frac{(0.1183)(1-(0.1183))}{284}}} \\ \\ \Rightarrow Z_c=-1.5811 \end{gathered}[/tex]

We can conclude that the test statistic is:

[tex]Z_c=-1.5811[/tex]

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