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3241004551 [841]
3 years ago
15

A researcher took a poll of people in his state. He asked each person if he or she had any pets (Yes or No) and to state his or

her political party affiliation (Republican, Democrat, or Other). If the researcher computed a chi square test of independence using the responses, what would the degrees of freedom value be
Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

DF = 2

Step-by-step explanation:

Formula for degree of freedom is;

DF = n - 1

Where n is sample size

In this question, political party affiliation could be Republican, Democrat, or Other. Thus, sample size is 3.

DF = 3 - 1

DF = 2

Thus, degree of freedom value would be 2

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Take a look at the attachment below. It may help!

With this sector we can create a proportion to find the area watered by the sprinkler. 85 degrees over a total 360 degrees would be simplified to the following -

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Thus, we can calculate the area of the circle with a range of 5 meters radius, and divide by about 4.235 to receive the area watered by the sprinkler, or the area of the sector -

Area( Full Circle ) = \pi r^2,\\Area( Full Circle ) = \pi * ( 5 )^2,\\Area( Full Circle ) = 25\pi,\\\\Area( Full Circle ) = ( About ) 78.5

__________________________

Area( Watered By Sprinkler ) / Area( Sector ) = 78.5 / 4.235,\\Area( Watered By Sprinkler ) / Area( Sector ) = ( About ) 18.5

<u><em>The solution should be about 18.5 meters^2</em></u>

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