You are a scientist who has developed a new drug, and you want to check if your drug works better than a placebo (a sugar pill). What is the chi-square statistic for the data in the contingency table above under the null hypothesis that your drug works just as well as a placebo?
On the basis of the chi-square statistic you have calculated, are you able to reject the null hypothesis?
Before starting the experiment, you make the assumption that the probability of a patient recovering within two weeks if they have taken the drug is $p = 0.85$ and if they take the placebo it’s $q = 0.45$. How many degrees of freedom should you use for your chi-square test this time?

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