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You are a researcher for a seed company and want to advertise to those with vegetable gardens.

Your null hypothesis is that the proportions of men and women who have a vegetable garden are equal. You randomly choose $20\text{ men}$ and $20\text{ women}$ from your community and ask them if they have a vegetable garden.

Of those asked, $3$ of the men and $5$ of the women have a vegetable garden. You calculate your $z$-test statistic and compute your $p$-value.

What assumptions or conditions for comparing two proportions have you violated?

A

Independent random selection procedure.

B

Population size $N$ compared to the sample size.

C

Calculating a $z$-value for a two-sample proportion test.

D

Sample sizes for the two samples.

E

There are no violations of the assumptions or conditions.

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