In a random sample of 238 potential voters registered in the state of Kentucky, 104 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 251 potential voters registered in Michigan, 84 indicated that they planned to vote in the next general election. Can we conclude, at the 0.05 level of significance, that the proportion p₁ of all potential voters in Kentucky who plan to vote differs from the proportion P₂ of all potential voters in Michigan 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 H₁. : H₁ = 0 H₁ : 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.) μ x x ローロ □≠□ S

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
Question
In a random sample of 238 potential voters registered in the state of Kentucky, 104 indicated that they planned to vote in the next general election. In an
independently chosen, random sample of 251 potential voters registered in Michigan, 84 indicated that they planned to vote in the next general election.
Can we conclude, at the 0.05 level of significance, that the proportion p₁ of all potential voters in Kentucky who plan to vote differs from the proportion P₂ of all
potential voters in Michigan 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 H₁.
:
H₁ = 0
H₁ : 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.)
μ
x
x
ローロ
□≠□
S
<Q
□≤0 □□
□<□
☐
(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)
☐ and
(e) Can we conclude that the proportion of voters in Kentucky who plan to vote differs from the
proportion of voters in Michigan who plan to vote?
O Yes No
Transcribed Image Text:In a random sample of 238 potential voters registered in the state of Kentucky, 104 indicated that they planned to vote in the next general election. In an independently chosen, random sample of 251 potential voters registered in Michigan, 84 indicated that they planned to vote in the next general election. Can we conclude, at the 0.05 level of significance, that the proportion p₁ of all potential voters in Kentucky who plan to vote differs from the proportion P₂ of all potential voters in Michigan 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 H₁. : H₁ = 0 H₁ : 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.) μ x x ローロ □≠□ S <Q □≤0 □□ □<□ ☐ (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) ☐ and (e) Can we conclude that the proportion of voters in Kentucky who plan to vote differs from the proportion of voters in Michigan who plan to vote? O Yes No
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