All new drugs must go through a drug study before being approved by the U.S. Food and Drug Administration (FDA). A drug study typically includes clinical trials whereby participants are randomized to receive different dosages as well as a placebo but are unaware of which group they are in. To control as many factors as possible, it is best to assign participants randomly yet homogeneously across the treatments. Consider the following arrangement for homogeneity with respect to gender and dosages.

At the 0.01 level of significance, is the distribution of drug the same for both genders? Considering the same study, homogeneity of ages would also be an important feature. At the 0.01 level of significance, is the distribution of the drug that follows the same for all age groups?

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Gender Placebo 60 26 10-mg Drug20-mg Drug Female Male 54 32 56 27 10-mg Drug20-mg Drug Age 40-49 50-59 60-69 Placebo 19 57 10 20 41 48 20