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ElenaW [278]
2 years ago
12

In a study of simulated juror decision making, Braden-Maguire, Sigal, and Perrino (2005) investigated the type of verdict assign

ed by study participants after they read a 12-page summation of a case involving a battered woman who had shot and killed her husband. Of the 80 participants, 27 assigned a verdict of guilty, 49 a verdict of not guilty by reason of self-defense, and 4 a verdict of not guilty by reason of insanity. What type of chi-square test would the researchers use to determine if the distribution of verdicts differs from what would be expected by chance
Mathematics
1 answer:
Licemer1 [7]2 years ago
6 0

Answer:

Independence chi-square test

Step-by-step explanation:

The Chi-Square Test for independence is a type of statistical hypothesis test that is used to determine the existence of an association or relationship between nominal or categorical variables

The chi-square is given by the following formula;

\chi^2 = \XXL\sum \dfrac{\left (O_i - E_i  \right)^2}{E_i}

The number of participants = 80

The number that assigned a verdict of guilty = 27

The number that assigned a verdict of not guilty by reason of self defense = 49

The number that assigned a verdict of not guilty by reason of insanity = 4

Independence Chi Square test

The table of values is presented as follows;

Expected Value = (Row sum * Column Sum)/(Grand Total)

Expected Value for Guilty = 27 × 80/80 = 27

Expected Value for Self Defense = 49 × 80/80 = 49

Expected value for Insanity = 4 × 80/80 = 4

\begin{array}{ccc}Category&Observed&Expected\\Guilty&27&27\\SelfDe&49&49\\Insanity&4&4\end{array}

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Step-by-step explanation:

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Does anyone understand 1 or 2? Please answer
telo118 [61]

Answer:

See below

Step-by-step explanation:

You need to create an equation that will give you the results with the correct units of measurement that they are asking for.  In the first question, they are asking you to give the answer in seconds.  So when you set up your equation, seconds have to be on the top.  The way to think of this is to actually reword the statement they give you by saying in 1 second, light travels 3 x 10 to the 8th power which is 3 with 8 zeros after it.  Then it's easier to set up the equation as below.  The distance from the Sun to Mars is 230,000,000,000 meters which is the same as saying 2300 x 10 to the 8th power.  Notice I counted 8 of the zeros and used that in the exponent but left the rest as part of the original number.  This will make it easier since you are dealing with two number that have exponents raised to the same power of 8.

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When you look at this equation it looks difficult but since both the top number and bottom number are exponents raised to the same power, they cancel each other out.  So you can drop the exponent all together and just divide the top number by the bottom number  2300 ÷ 3 which equals 766 seconds.

The second question needs you to take the distant the Sun is from Earth and subtract that from the distance from the Sun to Mars.  By subtracting those two, it will tell you how far Mars is from the Earth.  You can change the numbers a little bit to make it easier on you.  Again you want the exponent for both numbers to be the same to make it easier.  When you subtract two number with the exact same exponent, you can just subtract the number and then use that same exponent as part of your answer.

The distance between the Sun and Mars is 23 with 10 zeros after it.  So that is the same as writing 23 x 10¹⁰.  The distance from the Sun to Earth is said to be 1.5 x 10¹¹ but that is a different exponent.  So if you move the decimal on this number one place to the right, it will be 15 x 10¹⁰.  Now you can easily subtract those numbers without worrying about the exponent since they are the same.

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Hey there!

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