Question

pharmaceutical company is testing a new drug that may improve thyroid health. They gather 150 volunteers who will be split into two groups. One group is given the drug, and the other group is given a placebo. The administrators of the experiment alphabetized the names of the volunteers and then flipped a coin. Based on the coin flip, they assigned the first 75 names to the drug group and assigned the remaining 75 names to the placebo group. The volunteers are not told which group they are in.

After several months of the volunteers taking either the drug or the placebo twice weekly, the administrators determine that 59 of the 75 volunteers in the drug group showed substantially improved thyroid health, and 34 of the 75 volunteers in the placebo group showed substantially improved thyroid health.

Is it appropriate for the experiment administrators to conclude that the drug improves thyroid health? Explain.