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In: Statistics and Probability

During the recent primary elections, the democratic presidential candidate showed the following pre-election voter support in...

During the recent primary elections, the democratic presidential candidate showed the following pre-election voter support in Alabama and Mississippi. State Voters Surveyed Voters in favor of Democratic Candidate Alabama 710 352 Mississippi 915 480 We want to determine whether or not the PROPORTIONS of voters favoring the Democratic candidate were the same in both states. In other words, is the first proportion (p1) the same as (p2)? What formula, from this week’s Notations and Symbols, would be applicable in the hypothesis test? (Notice you are not doing a hypothesis test – you are saying which formula applies).

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Expert Solution

ANSWER::

Given that,

During the recent primary elections, the democratic presidential candidate showed the following pre-election voter support in Alabama and Mississippi.

Given table,

State

Voters Surveyed

Voters in favor of Democratic Candidate

Alabama

710

352

Mississippi

915

480

Let p1 and p2 be the population proportions of voters favoring the Democratic candidate in Alabama and Mississippi respectively.

The appropriate hypothesis are,

H0: p1 = p2

Ha : p1 p2

Sample proportions,

pooled proportion p=

=

=832.535/1625

=0.512

Standard error of difference in proportions, SE =

=0.025

Test statistic:

Z=|p1 -p2|/SE

=|0.496-0.525|/0.025

=0.029/0.025

=1.16

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orchestra answered 1 year ago
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