Consider an experiment in which a pharmaceutical company is testing a new drug that they hope will lower cholesterol levels. They administer three treatments: A dose of the drug, a dose of a placebo, and a control group that receives neither drug nor placebo. after 24 hours they then measured the cholesterol levels and compared the values to baseline levels measured prior to treatment. The table below shows the results of the experiment.
$\begin{array}{|l|l|l|}\hline \text { Treatment } & \text { Chol. lower } & \begin{array}{l}\text { Chol. increased } \\\text { or the same }\end{array} \\\hline \text { Drug } & 64 & 36 \\\hline \text { Placebo } & 51 & 49 \\\hline \text { Control } & 48 & 52 \\\hline\end{array}$
-To determine whether there appears to be a statistically significant relationship between the treatment and changes in cholesterol level they would conduct a ?² analysis. When performing this analysis, which of the values below is closest to the ?² statistic they would obtain?

Question

Consider an experiment in which a pharmaceutical company is testing a new drug that they hope will lower cholesterol levels. They administer three treatments: A dose of the drug, a dose of a placebo, and a control group that receives neither drug nor placebo. after 24 hours they then measured the cholesterol levels and compared the values to baseline levels measured prior to treatment. The table below shows the results of the experiment.

\begin{array}{|l|l|l|}\hline \text { Treatment } & \text { Chol. lower } & \begin{array}{l}\text { Chol. increased } \\\text { or the same }\end{array} \\\hline \text { Drug } & 64 & 36 \\\hline \text { Placebo } & 51 & 49 \\\hline \text { Control } & 48 & 52 \\\hline\end{array}

-To determine whether there appears to be a statistically significant relationship between the treatment and changes in cholesterol level they would conduct a ?² analysis. When performing this analysis, which of the values below is closest to the ?² statistic they would obtain?

Quizplus · Accepted Answer

The analysis referred to is a Chi-square (χ²) test, which is used to determine if there is a significant association between categorical variables. In this case, it's used to assess the relationship between treatment type (drug, placebo, control) and the outcome on cholesterol levels (lowered or not). The χ² statistic calculated from the given data is closest to 5.83, indicating the strength of association between the treatment and cholesterol level changes.

Consider an Experiment in Which a Pharmaceutical Company Is Testing