In a random sample of 291 potential voters registered in the state of Pennsylvania, 110 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 210 potential voters registered in Illinois, 57 indicated that they planned to vote in the next general election. Can we conclude, at the 0.05 level of significance, that the proportion p, of all potential voters in Pennsylvania who plan to vote is greater than the proportion p, of all potential voters in Illinois who plan to vote? Perform a one-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 H and the alternative hypothesis H,. H :0 H:0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we conclude that the proportion of voters in Pennsylvania who plan to vote is greater than the proportion of voters in Illinois who plan to vote? OYes ONo Ix

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a random sample of 291 potential voters registered in the state of Pennsylvania, 110 indicated that they planned to vote in the next general election. In an
independently chosen, random sample of 210 potential voters registered in Illinois, 57 indicated that they planned to vote in the next general election. Can we
conclude, at the 0.05 level of significance, that the proportion p, of all potential voters in Pennsylvania who plan to vote is greater than the proportion p, of all
potential voters in Illinois who plan to vote?
Perform a one-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 H and the alternative hypothesis H,.
Ho 0
H :
0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
(e) Can we conclude that the proportion of voters in Pennsylvania who plan to vote is greater than
the proportion of voters in Illinois who plan to vote?
O Yes ONo
Transcribed Image Text:In a random sample of 291 potential voters registered in the state of Pennsylvania, 110 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 210 potential voters registered in Illinois, 57 indicated that they planned to vote in the next general election. Can we conclude, at the 0.05 level of significance, that the proportion p, of all potential voters in Pennsylvania who plan to vote is greater than the proportion p, of all potential voters in Illinois who plan to vote? Perform a one-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 H and the alternative hypothesis H,. Ho 0 H : 0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we conclude that the proportion of voters in Pennsylvania who plan to vote is greater than the proportion of voters in Illinois who plan to vote? O Yes ONo
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