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;

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

Answer:
Any multiple of 71 (i.e. 71, 142, 710, etc)
Step-by-step explanation:
Republicans = R
Democrats = D
Republicans that liked apple pie = 0.80R
Democrats liked eclairs = 0.55D
Republicans who liked apple pie that also liked eclairs = (0.80*0.20)R
If the number of Republicans who liked both desserts is equal to the number of Democrats who liked eclairs, then the following must be true:

Since the number of Republicans and Democrats must be integers, the least number of members possible is 71 (55+16).
Any value that is a multiple of 71 is a possible value for the number of members of the group
Answer: 1) c 2) d
<u>Step-by-step explanation:</u>
Use Pythagorean Theorem to find the hypotenuse (r): x² + y² = r²
Given: x = 2, y = 6
2² + 6² = r²
4 + 36 = r²
40 = r²


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Answer:

if not solving simultaneously, that is the result