I read about an antiviral drug called Paxlovid which can be given to high-risk individuals early after exposure to Covid-19 and is said to be protective against serious illness.  A group of 1219 high-risk people were selected and 607 were given Paxlovid and 612 were given a placebo.  After 28 days, nobody given Paxlovid had died and 6 were hospitalized.  Among the placebo group, 10 had died and 41 were hospitalized. Our goal is to compare the difference in these proportions and assess the significance of the differences.  We will add the steps as we go.   1. What is our test statistic?   2.  Reject null hypothesis? Does the drug appear to work?   3. What is the p-value?  What does it tell us about how strong the conclusion is?

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I read about an antiviral drug called Paxlovid which can be given to high-risk individuals early after exposure to Covid-19 and is said to be protective against serious illness.  A group of 1219 high-risk people were selected and 607 were given Paxlovid and 612 were given a placebo.  After 28 days, nobody given Paxlovid had died and 6 were hospitalized.  Among the placebo group, 10 had died and 41 were hospitalized.

Our goal is to compare the difference in these proportions and assess the significance of the differences.  We will add the steps as we go.

 

1. What is our test statistic?

 

2.  Reject null hypothesis? Does the drug appear to work?

 

3. What is the p-value?  What does it tell us about how strong the conclusion is?

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