In a random sample of 266 potential voters registered in the state of Mississippi, 94 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 216 potential voters registered in Delaware, 98 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 Mississippi who plan to vote is less than the proportion p2 of all potential voters in Delaware 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) ▼ OSO (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 Mississippi who plan to vote is less than the proportion of voters in Delaware who plan to vote? O Yes ONo

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a random sample of 266 potential voters registered in the state of Mississippi, 94 indicated that they planned to vote in the next general election. In an
independently chosen, random sample of 216 potential voters registered in Delaware, 98 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 Mississippi who plan to vote is less than the proportion p, of all
potential voters in Delaware 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,.
p
H, :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
O=0
OSO
(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 Mississippi who plan to vote is less than the
proportion of voters in Delaware who plan to vote?
O Yes O No
to
Transcribed Image Text:In a random sample of 266 potential voters registered in the state of Mississippi, 94 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 216 potential voters registered in Delaware, 98 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 Mississippi who plan to vote is less than the proportion p, of all potential voters in Delaware 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,. p H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (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 Mississippi who plan to vote is less than the proportion of voters in Delaware who plan to vote? O Yes O No to
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