a statistician wants to set up a hypothesis test to determine if there is a difference in the mean percent voter turnouts of republicans, democrats, and independent voters in a recent election. what would be the correct setup for the null and alternative hypotheses for this test?

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02-09-2022
Mathematics

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a statistician wants to set up a hypothesis test to determine if there is a difference in the mean percent voter turnouts of republicans, democrats, and independent voters in a recent election. what would be the correct setup for the null and alternative hypotheses for this test?

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tripatsingh039 tripatsingh039 · Answer 1 · 2022-09-06T22:41:25-04:00

For null hypothesis and alternative hypothesis correct setup is

H₀: μ₁ = μ₂ = μ₃

H₁: At least one of the party mean is different from the others.

we would have to setup for the null alternative hypothesis for the test

What you want to test is if there is a difference in the mean percent voter turnouts

Party 1: republicians

Party 2: democrats

Party 3: independent

To each party you measured the variable, setting 3 different variables. To compare these variables the best way is to make one test where you compare the 3 parties at the same time, so the hypothesis is:

H₀: μ₁ = μ₂ = μ₃

H₁: At least one of the party mean is different from the others.

Hence For null hypothesis and alternative hypothesis correct setup is

H₀: μ₁ = μ₂ = μ₃

H₁: At least one of the party mean is different from the others.

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