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A Researcher Selected a Sample of 50 Residents from Each α=0.05\alpha = 0.05

Question 71

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A researcher selected a sample of 50 residents from each of three different cities to determine if they were willing to participate in a medical experiment. At α=0.05\alpha = 0.05 , test the claim that the proportions who will participate are equal.
 Residents  City 1  City 2 City 3 Willing to participate 191522 Not willing to participate 313528 Total 505050\begin{array} { l c c c } \text { Residents } & \text { City 1 } & \text { City } 2 & \text { City } 3 \\ \text { Willing to participate } & 19 & 15 & 22 \\ \text { Not willing to participate } & 31 & 35 & 28 \\ \text { Total } & 50 & 50 & 50 \end{array}


A) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > 2.109
B) There is not evidence to reject the claim that the proportions are equal because the test value 2.109 < 5.991
C) There is evidence to reject the claim that the proportions are equal because the test value 2.109 < 5.991
D) There is not evidence to reject the claim that the proportions are equal because the test value 5.991 > 2.109

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