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

Question 129

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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 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. H<sub>0</sub>:   \pi <sub>1</sub> =   \pi <sub>2</sub><sup> </sup>=   \pi <sub>3</sub> =   \pi <sub>4</sub> (the population proportions are equal)  H<sub>A</sub>: At least two population proportions differ from one another. At a 5% significance level, what is the critical value,  \chi <sup>2</sup><sub>c</sub>, for the hypothesis test? A) 0.711 B) 7.815 C) 9.348 D) 9.488 A researcher conducts the following hypotheses test to determine whether the proportion that exercises regularly differs across the four states.
H0: π\pi 1 = π\pi 2 = π\pi 3 = π\pi 4 (the population proportions are equal)
HA: At least two population proportions differ from one another.
At a 5% significance level, what is the critical value, χ\chi 2c, for the hypothesis test?


A) 0.711
B) 7.815
C) 9.348
D) 9.488

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