A 2012 Gallup Poll of Collected Data on the Percentage $\pi$

question 138

Multiple Choice

A 2012 Gallup poll of collected data on the percentage of residents in different states who report exercising for at least 30 minutes 3 or more days per week (Source: Gallup Analytics) .Suppose the sample data show the following: A researcher conducts the following hypotheses test to determine whether the proportion that exercises regularly differs across the four states.
H₀: $\pi$ ₁ = $\pi$ ₂ = $\pi$ ₃ = $\pi$ ₄ (the population proportions are equal)
H_A: At least two population proportions differ from one another.
At a 5% significance level, what is the test statistic, $\chi$ ²_stat, for the hypothesis test?

• A)0.002
• B)0.473
• C)4.562
• D)7.815

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