Question: You are curious about whether the professors and students at your school are of different political persuasions, so you take a sample of 20 professors

You are curious about whether the professors and students at your school are of different political persuasions, so you take a sample of 20 professors and 20 students drawn randomly from each population. You find that 10 professors say they are conservative and 6 students say they are conservative. Is this a statistically significant difference?

shall i use z or t test and why

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