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In a random sample of 208 potential voters registered in the state of Kansas, 57 indicated that they planned to vote in the next
In a random sample of 208 potential voters registered in the state of Kansas, 57 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 246 potential voters registered in North Dakota, 99 indicated that they planned to vote in the next general election. Can we conclude, at the 0.01 level of significance, that the proportion p of all potential voters in Kansas who plan to vote differs from the proportion p of all potential voters in North Dakota who plan to vote? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. 8:0 H:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and (e) Can we conclude that the proportion of voters in Kansas who plan to vote differs from the proportion of voters in North Dakota who plan to vote? O Yes O No B S
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