You may need to use the appropriate appendix table or technology to answer this question. Minnesota had the highest turnout rate of any state for the 2016 presidential election. Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 669 of 892 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 registered voters from urban Minnesota voted. (a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. (Let p₁ = the population proportion of voters in rural Minnesota who voted in the 2016 election and p₂ = the population proportion of voters in urban Minnesota who voted in the 2016 election.) P₂ #0 P₂ = 0 Ho: P₁ P₂ = 0 H: P₁ P₂ #0 Ho: P₁ H₂: P₁ Ho: P₁-P₂ 20 Ha: P1 P₂ <0 Ho: P₁ P₂ <0 H₂P₁ P₂=0 P₂ ≤0 P₂0 Ho: P₁ H: P₁ (b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election? 75 (c) What is the proportion of sampled registered voters in urban Minnesota that voted in the 2016 presidential election? 72 (d) At a = 0.05, test the political analysts' hypothesis. Calculate the test statistic. (Round your answer to two decimal places.) 100 What is the p-value? (Round your answer to four decimal places.) p-value=0.05 x

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You may need to use the appropriate appendix table or technology to answer this question.
Minnesota had the highest turnout rate of any state for the 2016 presidential election. Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that
669 of 892 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 registered voters from urban Minnesota voted.
(a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential
election. (Let P1
= the population proportion of voters in rural Minnesota who voted in the 2016 election and
P2
the population proportion of voters in urban Minnesota who voted in the 2016 election.)
57°F
Clear
Ho: P₁-P₂ #0
Ha: P₁ P₂ = 0
f1
1
-
Ho: P₁ P₂ = 0
Ha: P₁-P₂ #0
?
-
Ho: P1-P₂ ≥ 0
Ha: P₁-P₂ <0
(b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election?
.75
Ho: P₁ P₂ <0
H₂: P₁ P₂ = 0
(c) What is the proportion of sampled registered voters in urban Minnesota that voted in the 2016 presidential election?
72
-
Ho: P₁-P₂ ≤ 0
H₂: P₁ P₂ > 0
(d) At a = 0.05, test the political analysts' hypothesis.
Calculate the test statistic. (Round your answer to two decimal places.)
100
@
What is the p-value? (Round your answer to four decimal places.)
p-value = 0.05
X
2
f3
#
3
$
4
f5
%
5
4-
6
f7
4+
&
7
18
144
fg
OO
DII
hp
fo
DDI
W
insert
prt sc
C
***
TO 6
UP
**
delete
backspace
home
num
lock
+4
end
L
8:36 PM
10/9/2022
***
****
****
***
pg up
pa
Transcribed Image Text:esc You may need to use the appropriate appendix table or technology to answer this question. Minnesota had the highest turnout rate of any state for the 2016 presidential election. Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 669 of 892 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 registered voters from urban Minnesota voted. (a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. (Let P1 = the population proportion of voters in rural Minnesota who voted in the 2016 election and P2 the population proportion of voters in urban Minnesota who voted in the 2016 election.) 57°F Clear Ho: P₁-P₂ #0 Ha: P₁ P₂ = 0 f1 1 - Ho: P₁ P₂ = 0 Ha: P₁-P₂ #0 ? - Ho: P1-P₂ ≥ 0 Ha: P₁-P₂ <0 (b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election? .75 Ho: P₁ P₂ <0 H₂: P₁ P₂ = 0 (c) What is the proportion of sampled registered voters in urban Minnesota that voted in the 2016 presidential election? 72 - Ho: P₁-P₂ ≤ 0 H₂: P₁ P₂ > 0 (d) At a = 0.05, test the political analysts' hypothesis. Calculate the test statistic. (Round your answer to two decimal places.) 100 @ What is the p-value? (Round your answer to four decimal places.) p-value = 0.05 X 2 f3 # 3 $ 4 f5 % 5 4- 6 f7 4+ & 7 18 144 fg OO DII hp fo DDI W insert prt sc C *** TO 6 UP ** delete backspace home num lock +4 end L 8:36 PM 10/9/2022 *** **** **** *** pg up pa
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