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 thestate. A sample shows that 606 of 808 registered voters from rural Minnesota voted in the 2016 presidential election, while 396 out of 550 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 the2016 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.)Ho: P₁Ha: P₁Ho: P₁Ha: P₁Ho: P₁Ha: P₁Ho: P₁Ha: P₁P₂ ≥ 0P₂ <0-P₂ ≤ 0P₂ > 0Ho: P₁ - P2 <0Ha: P₁ P₂ = 0P₂ #0P₂ = 0P₂ = 0P₂ #0(b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election?

Answered: Minnesota had the highest turnout rate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 606 of 808 registered voters from rural Minnesota voted in the 2016 presidential election, while 396 out of 550 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.)
Ho: P₁
Ha: P₁
Ho: P₁
Ha: P₁
Ho: P₁
Ha: P₁
Ho: P₁
Ha: P₁
P₂ ≥ 0
P₂ <0
-
P₂ ≤ 0
P₂ > 0
Ho: P₁ - P2 <0
Ha: P₁ P₂ = 0
P₂ #0
P₂ = 0
P₂ = 0
P₂ #0
(b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election?

Expert Solution

Step 1

Introduction

In the given scenario, we need to perform hypothesis testing for the difference in the proportions of rural and urban voters in Minnesota. The data included two sample data from rural and urban areas of Minnesota. The researcher claimed that the turnout rate of rural Minnesota was higher than the turnout of urban Minnesota.

The given details are :

$\begin{array}{rcl} X_{1} & = & 606 \\ N_{1} & = & 808 \\ X_{2} & = & 396 \\ N_{2} & = & 550 \end{array}$

we need to find the null and alternative hypotheses of the given scenario. And we will also find the sample proportion turnover in rural Minnesota for the presidential election in 2016.