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? Write the two statistical hypothesis and conduct the appropriate test with your conclusion justified.
H0: The proportions of the conservatives in the two samples are the same, that is, p1 = p2 or p1 - p2 = 0
Ha: The proportions of the conservatives in the two samples are different, that is, p1 =/ p2 or ...
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